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Finding the Fourth Proportional to 24,099.86, 36,142.82 and 8,304.24

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Solution

The fourth proportional to 24,099.86, 36,142.82 and 8,304.24 is: 12,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,099.86 : 36,142.82 = 8,304.24 : x
  2. Step 2: Convert to fraction form
    24,099.86/36,142.82 = 8,304.24/x
  3. Step 3: Cross multiply
    24,099.86x = 36,142.82 × 8,304.24
  4. Step 4: Simplify right side
    24,099.86x = 300,138,651.56
  5. Step 5: Solve for x
    x = 300,138,651.56/24,099.86
  6. Step 6: Final answer
    x = 12,453.96

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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.