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Finding the Fourth Proportional to 25,793.10, 38,689.65 and 9,171.90

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Solution

The fourth proportional to 25,793.10, 38,689.65 and 9,171.90 is: 13,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,793.10 : 38,689.65 = 9,171.90 : x
  2. Step 2: Convert to fraction form
    25,793.10/38,689.65 = 9,171.90/x
  3. Step 3: Cross multiply
    25,793.10x = 38,689.65 × 9,171.90
  4. Step 4: Simplify right side
    25,793.10x = 354,857,600.84
  5. Step 5: Solve for x
    x = 354,857,600.84/25,793.10
  6. Step 6: Final answer
    x = 13,757.85

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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.