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Finding the Fourth Proportional to 24,747.40, 37,123.22 and 8,107.36

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Solution

The fourth proportional to 24,747.40, 37,123.22 and 8,107.36 is: 12,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.40 : 37,123.22 = 8,107.36 : x
  2. Step 2: Convert to fraction form
    24,747.40/37,123.22 = 8,107.36/x
  3. Step 3: Cross multiply
    24,747.40x = 37,123.22 × 8,107.36
  4. Step 4: Simplify right side
    24,747.40x = 300,971,308.90
  5. Step 5: Solve for x
    x = 300,971,308.90/24,747.40
  6. Step 6: Final answer
    x = 12,161.73

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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.