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Finding the Fourth Proportional to 24,049.28, 36,074.42 and 8,254.24

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Solution

The fourth proportional to 24,049.28, 36,074.42 and 8,254.24 is: 12,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.28 : 36,074.42 = 8,254.24 : x
  2. Step 2: Convert to fraction form
    24,049.28/36,074.42 = 8,254.24/x
  3. Step 3: Cross multiply
    24,049.28x = 36,074.42 × 8,254.24
  4. Step 4: Simplify right side
    24,049.28x = 297,766,920.54
  5. Step 5: Solve for x
    x = 297,766,920.54/24,049.28
  6. Step 6: Final answer
    x = 12,381.53

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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.