The following excerpt was added to the U.S. Constitution in 1964:

"The right of citizens of the United States to vote in any primary or other election for President or Vice President, for electors for President or Vice President, or for Senator or Representative in Congress, shall not be denied or abridged by the United States or any state by reason of failure to pay any poll tax or other tax."

Source: http://www.law.cornell.edu/constitution/amendmentxxiv

How does this constitutional amendment relate to one of the Reconstruction Amendments?

Question

The following excerpt was added to the U.S. Constitution in 1964: 

"The right of citizens of the United States to vote in any primary or other election for President or Vice President, for electors for President or Vice President, or for Senator or Representative in Congress, shall not be denied or abridged by the United States or any state by reason of failure to pay any poll tax or other tax." 

Source: http://www.law.cornell.edu/constitution/amendmentxxiv 

How does this constitutional amendment relate to one of the Reconstruction Amendments?