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Finding the Fourth Proportional to 13,680.92, 20,503.55 and 6,178.90

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Solution

The fourth proportional to 13,680.92, 20,503.55 and 6,178.90 is: 9,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.92 : 20,503.55 = 6,178.90 : x
  2. Step 2: Convert to fraction form
    13,680.92/20,503.55 = 6,178.90/x
  3. Step 3: Cross multiply
    13,680.92x = 20,503.55 × 6,178.90
  4. Step 4: Simplify right side
    13,680.92x = 126,689,385.10
  5. Step 5: Solve for x
    x = 126,689,385.10/13,680.92
  6. Step 6: Final answer
    x = 9,260.30

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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.