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Finding the Fourth Proportional to 24,161.85, 36,234.08 and 8,362.59

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Solution

The fourth proportional to 24,161.85, 36,234.08 and 8,362.59 is: 12,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161.85 : 36,234.08 = 8,362.59 : x
  2. Step 2: Convert to fraction form
    24,161.85/36,234.08 = 8,362.59/x
  3. Step 3: Cross multiply
    24,161.85x = 36,234.08 × 8,362.59
  4. Step 4: Simplify right side
    24,161.85x = 303,010,775.97
  5. Step 5: Solve for x
    x = 303,010,775.97/24,161.85
  6. Step 6: Final answer
    x = 12,540.88

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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.