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Finding the Fourth Proportional to 24,170.76, 36,229.92 and 9,375.30

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Solution

The fourth proportional to 24,170.76, 36,229.92 and 9,375.30 is: 14,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,170.76 : 36,229.92 = 9,375.30 : x
  2. Step 2: Convert to fraction form
    24,170.76/36,229.92 = 9,375.30/x
  3. Step 3: Cross multiply
    24,170.76x = 36,229.92 × 9,375.30
  4. Step 4: Simplify right side
    24,170.76x = 339,666,368.98
  5. Step 5: Solve for x
    x = 339,666,368.98/24,170.76
  6. Step 6: Final answer
    x = 14,052.78

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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.