Questions: Find the value of x in the proportion. Check your answer. x/20 = 13/10 The solution set is . (Type an integer or a simplified fraction.)

$Find the value of x in the proportion. Check your answer. x/20 = 13/10 The solution set is . (Type an integer or a simplified fraction.)$

Transcript text: Find the value of x in the proportion. Check your answer. \[ \frac{x}{20}=\frac{13}{10} \] The solution set is $\{$ $\square$ \}. (Type an integer or a simplified fraction.)

Solution

Solution Steps

Step 1: Set up the proportion

The given proportion is: \[ \frac{x}{20} = \frac{13}{10} \]

Step 2: Cross-multiply to solve for $ x $

Multiply both sides of the equation by 20 to isolate $ x $: \[ x = \frac{13}{10} \times 20 \]

Step 3: Simplify the expression

Calculate the right-hand side: \[ x = \frac{13 \times 20}{10} = \frac{260}{10} = 26 \]

The solution set is $\boxed{26}$.

Final Answer

$\boxed{26}$

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