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Finding the Fourth Proportional to 25,187.28, 37,780.92 and 9,609.36

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Solution

The fourth proportional to 25,187.28, 37,780.92 and 9,609.36 is: 14,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.28 : 37,780.92 = 9,609.36 : x
  2. Step 2: Convert to fraction form
    25,187.28/37,780.92 = 9,609.36/x
  3. Step 3: Cross multiply
    25,187.28x = 37,780.92 × 9,609.36
  4. Step 4: Simplify right side
    25,187.28x = 363,050,461.41
  5. Step 5: Solve for x
    x = 363,050,461.41/25,187.28
  6. Step 6: Final answer
    x = 14,414.04

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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.