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Finding the Fourth Proportional to 17,532.68, 24,200.24 and 12,229.20

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Solution

The fourth proportional to 17,532.68, 24,200.24 and 12,229.20 is: 16,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532.68 : 24,200.24 = 12,229.20 : x
  2. Step 2: Convert to fraction form
    17,532.68/24,200.24 = 12,229.20/x
  3. Step 3: Cross multiply
    17,532.68x = 24,200.24 × 12,229.20
  4. Step 4: Simplify right side
    17,532.68x = 295,949,513.86
  5. Step 5: Solve for x
    x = 295,949,513.86/17,532.68
  6. Step 6: Final answer
    x = 16,879.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.