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Finding the Fourth Proportional to 20,234.90, 30,352.28 and 9,414.56

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Solution

The fourth proportional to 20,234.90, 30,352.28 and 9,414.56 is: 14,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.90 : 30,352.28 = 9,414.56 : x
  2. Step 2: Convert to fraction form
    20,234.90/30,352.28 = 9,414.56/x
  3. Step 3: Cross multiply
    20,234.90x = 30,352.28 × 9,414.56
  4. Step 4: Simplify right side
    20,234.90x = 285,753,361.20
  5. Step 5: Solve for x
    x = 285,753,361.20/20,234.90
  6. Step 6: Final answer
    x = 14,121.81

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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.