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Finding the Fourth Proportional to 20,726.60, 31,114.20 and 12,414.20

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Solution

The fourth proportional to 20,726.60, 31,114.20 and 12,414.20 is: 18,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,726.60 : 31,114.20 = 12,414.20 : x
  2. Step 2: Convert to fraction form
    20,726.60/31,114.20 = 12,414.20/x
  3. Step 3: Cross multiply
    20,726.60x = 31,114.20 × 12,414.20
  4. Step 4: Simplify right side
    20,726.60x = 386,257,901.64
  5. Step 5: Solve for x
    x = 386,257,901.64/20,726.60
  6. Step 6: Final answer
    x = 18,635.85

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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.