$$ \begin{aligned} \frac{13}{24} &= \frac{x}{25}&& \text{multiply ALL terms by } \color{blue}{ 600 }. \\[1 em]600\cdot\frac{13}{24} &= 600 \cdot \frac{x}{25}&& \text{cancel out the denominators} \\[1 em]325 &= 24x&& \text{ swap the left and right side of the equation } \\[1 em]24x &= 325&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{325}{24}&& \\[1 em] \end{aligned} $$

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