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Finding the Fourth Proportional to 20,318.31, 30,456.81 and 9,232.85

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Solution

The fourth proportional to 20,318.31, 30,456.81 and 9,232.85 is: 13,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.31 : 30,456.81 = 9,232.85 : x
  2. Step 2: Convert to fraction form
    20,318.31/30,456.81 = 9,232.85/x
  3. Step 3: Cross multiply
    20,318.31x = 30,456.81 × 9,232.85
  4. Step 4: Simplify right side
    20,318.31x = 281,203,234.35
  5. Step 5: Solve for x
    x = 281,203,234.35/20,318.31
  6. Step 6: Final answer
    x = 13,839.89

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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.