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Finding the Fourth Proportional to 20,423.92, 30,630.84 and 5,632.16

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Solution

The fourth proportional to 20,423.92, 30,630.84 and 5,632.16 is: 8,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.92 : 30,630.84 = 5,632.16 : x
  2. Step 2: Convert to fraction form
    20,423.92/30,630.84 = 5,632.16/x
  3. Step 3: Cross multiply
    20,423.92x = 30,630.84 × 5,632.16
  4. Step 4: Simplify right side
    20,423.92x = 172,517,791.81
  5. Step 5: Solve for x
    x = 172,517,791.81/20,423.92
  6. Step 6: Final answer
    x = 8,446.85

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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.