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Finding the Fourth Proportional to 24,747.29, 37,124.24 and 8,103

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Solution

The fourth proportional to 24,747.29, 37,124.24 and 8,103 is: 12,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.29 : 37,124.24 = 8,103 : x
  2. Step 2: Convert to fraction form
    24,747.29/37,124.24 = 8,103/x
  3. Step 3: Cross multiply
    24,747.29x = 37,124.24 × 8,103
  4. Step 4: Simplify right side
    24,747.29x = 300,817,676.21
  5. Step 5: Solve for x
    x = 300,817,676.21/24,747.29
  6. Step 6: Final answer
    x = 12,155.58

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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.