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Finding the Fourth Proportional to 24,227.20, 36,343.20 and 8,429.80

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Solution

The fourth proportional to 24,227.20, 36,343.20 and 8,429.80 is: 12,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.20 : 36,343.20 = 8,429.80 : x
  2. Step 2: Convert to fraction form
    24,227.20/36,343.20 = 8,429.80/x
  3. Step 3: Cross multiply
    24,227.20x = 36,343.20 × 8,429.80
  4. Step 4: Simplify right side
    24,227.20x = 306,365,907.36
  5. Step 5: Solve for x
    x = 306,365,907.36/24,227.20
  6. Step 6: Final answer
    x = 12,645.54

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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.