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Finding the Fourth Proportional to 16,532.88, 24,757.92 and 8,724.48

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Solution

The fourth proportional to 16,532.88, 24,757.92 and 8,724.48 is: 13,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.88 : 24,757.92 = 8,724.48 : x
  2. Step 2: Convert to fraction form
    16,532.88/24,757.92 = 8,724.48/x
  3. Step 3: Cross multiply
    16,532.88x = 24,757.92 × 8,724.48
  4. Step 4: Simplify right side
    16,532.88x = 215,999,977.88
  5. Step 5: Solve for x
    x = 215,999,977.88/16,532.88
  6. Step 6: Final answer
    x = 13,064.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.