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Finding the Fourth Proportional to 24,478.11, 36,717.78 and 8,682.44

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Solution

The fourth proportional to 24,478.11, 36,717.78 and 8,682.44 is: 13,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.11 : 36,717.78 = 8,682.44 : x
  2. Step 2: Convert to fraction form
    24,478.11/36,717.78 = 8,682.44/x
  3. Step 3: Cross multiply
    24,478.11x = 36,717.78 × 8,682.44
  4. Step 4: Simplify right side
    24,478.11x = 318,799,694.78
  5. Step 5: Solve for x
    x = 318,799,694.78/24,478.11
  6. Step 6: Final answer
    x = 13,023.87

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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.