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Finding the Fourth Proportional to 20,481.66, 30,724.92 and 9,391.14

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Solution

The fourth proportional to 20,481.66, 30,724.92 and 9,391.14 is: 14,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,481.66 : 30,724.92 = 9,391.14 : x
  2. Step 2: Convert to fraction form
    20,481.66/30,724.92 = 9,391.14/x
  3. Step 3: Cross multiply
    20,481.66x = 30,724.92 × 9,391.14
  4. Step 4: Simplify right side
    20,481.66x = 288,542,025.21
  5. Step 5: Solve for x
    x = 288,542,025.21/20,481.66
  6. Step 6: Final answer
    x = 14,087.82

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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.