To solve the ratio \( \frac{x}{3} = \frac{y}{4} \) with a new value of \( x = 15 \), we can follow these steps:
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Substitute \( x \) into the equation: \[ \frac{15}{3} = \frac{y}{4} \]
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Simplify the left side: \[ 5 = \frac{y}{4} \]
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To find \( y \), multiply both sides by 4: \[ y = 5 \times 4 \] \[ y = 20 \]
Thus, the value of \( y \) is \( 20 \) units.