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Finding the Fourth Proportional to 24,276.26, 36,414.39 and 7,637.78

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Solution

The fourth proportional to 24,276.26, 36,414.39 and 7,637.78 is: 11,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.26 : 36,414.39 = 7,637.78 : x
  2. Step 2: Convert to fraction form
    24,276.26/36,414.39 = 7,637.78/x
  3. Step 3: Cross multiply
    24,276.26x = 36,414.39 × 7,637.78
  4. Step 4: Simplify right side
    24,276.26x = 278,125,099.65
  5. Step 5: Solve for x
    x = 278,125,099.65/24,276.26
  6. Step 6: Final answer
    x = 11,456.67

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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.