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Finding the Fourth Proportional to 24,147.29, 36,229.50 and 10,819.23

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Solution

The fourth proportional to 24,147.29, 36,229.50 and 10,819.23 is: 16,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.29 : 36,229.50 = 10,819.23 : x
  2. Step 2: Convert to fraction form
    24,147.29/36,229.50 = 10,819.23/x
  3. Step 3: Cross multiply
    24,147.29x = 36,229.50 × 10,819.23
  4. Step 4: Simplify right side
    24,147.29x = 391,975,293.29
  5. Step 5: Solve for x
    x = 391,975,293.29/24,147.29
  6. Step 6: Final answer
    x = 16,232.69

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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.