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Finding the Fourth Proportional to 25,774.72, 38,654.96 and 9,132.56

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Solution

The fourth proportional to 25,774.72, 38,654.96 and 9,132.56 is: 13,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.72 : 38,654.96 = 9,132.56 : x
  2. Step 2: Convert to fraction form
    25,774.72/38,654.96 = 9,132.56/x
  3. Step 3: Cross multiply
    25,774.72x = 38,654.96 × 9,132.56
  4. Step 4: Simplify right side
    25,774.72x = 353,018,741.50
  5. Step 5: Solve for x
    x = 353,018,741.50/25,774.72
  6. Step 6: Final answer
    x = 13,696.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.