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Finding the Fourth Proportional to 24,872.68, 37,301.34 and 8,229.27

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Solution

The fourth proportional to 24,872.68, 37,301.34 and 8,229.27 is: 12,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.68 : 37,301.34 = 8,229.27 : x
  2. Step 2: Convert to fraction form
    24,872.68/37,301.34 = 8,229.27/x
  3. Step 3: Cross multiply
    24,872.68x = 37,301.34 × 8,229.27
  4. Step 4: Simplify right side
    24,872.68x = 306,962,794.62
  5. Step 5: Solve for x
    x = 306,962,794.62/24,872.68
  6. Step 6: Final answer
    x = 12,341.36

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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.