Which of the following amendments granted women the right to vote in the United States?

The 19th Amendment is the correct answer because it explicitly granted women in the United States the right to vote. Ratified in 1920, this amendment states that the right to vote cannot be denied or abridged on the basis of sex. This was a monumental achievement in the women's suffrage movement and marked a significant milestone in advancing gender equality in the political sphere.

In contrast, the 15th Amendment, ratified in 1870, addresses voting rights regardless of race but does not mention gender. The 26th Amendment, ratified in 1971, lowered the voting age to 18 but also does not relate to gender rights. Lastly, the 24th Amendment, ratified in 1964, prohibits poll taxes in federal elections, which also does not pertain specifically to women's voting rights. Each of these amendments plays an important role in the broader context of voting rights, but only the 19th directly pertains to granting women the right to vote.