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Finding the Fourth Proportional to 25,494.33, 38,232.87 and 9,695.61

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Solution

The fourth proportional to 25,494.33, 38,232.87 and 9,695.61 is: 14,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.33 : 38,232.87 = 9,695.61 : x
  2. Step 2: Convert to fraction form
    25,494.33/38,232.87 = 9,695.61/x
  3. Step 3: Cross multiply
    25,494.33x = 38,232.87 × 9,695.61
  4. Step 4: Simplify right side
    25,494.33x = 370,690,996.70
  5. Step 5: Solve for x
    x = 370,690,996.70/25,494.33
  6. Step 6: Final answer
    x = 14,540.13

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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.