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Finding the Fourth Proportional to 20,517.20, 30,761.40 and 8,032.40

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Solution

The fourth proportional to 20,517.20, 30,761.40 and 8,032.40 is: 12,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.20 : 30,761.40 = 8,032.40 : x
  2. Step 2: Convert to fraction form
    20,517.20/30,761.40 = 8,032.40/x
  3. Step 3: Cross multiply
    20,517.20x = 30,761.40 × 8,032.40
  4. Step 4: Simplify right side
    20,517.20x = 247,087,869.36
  5. Step 5: Solve for x
    x = 247,087,869.36/20,517.20
  6. Step 6: Final answer
    x = 12,042.96

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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.