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Finding the Fourth Proportional to 24,235.20, 36,355.20 and 8,437.80

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Solution

The fourth proportional to 24,235.20, 36,355.20 and 8,437.80 is: 12,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235.20 : 36,355.20 = 8,437.80 : x
  2. Step 2: Convert to fraction form
    24,235.20/36,355.20 = 8,437.80/x
  3. Step 3: Cross multiply
    24,235.20x = 36,355.20 × 8,437.80
  4. Step 4: Simplify right side
    24,235.20x = 306,757,906.56
  5. Step 5: Solve for x
    x = 306,757,906.56/24,235.20
  6. Step 6: Final answer
    x = 12,657.54

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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.