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Finding the Fourth Proportional to 13,761.54, 20,591.28 and 8,217.90

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Solution

The fourth proportional to 13,761.54, 20,591.28 and 8,217.90 is: 12,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.54 : 20,591.28 = 8,217.90 : x
  2. Step 2: Convert to fraction form
    13,761.54/20,591.28 = 8,217.90/x
  3. Step 3: Cross multiply
    13,761.54x = 20,591.28 × 8,217.90
  4. Step 4: Simplify right side
    13,761.54x = 169,217,079.91
  5. Step 5: Solve for x
    x = 169,217,079.91/13,761.54
  6. Step 6: Final answer
    x = 12,296.38

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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.