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Finding the Fourth Proportional to 24,747.57, 37,117.67 and 8,108.22

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Solution

The fourth proportional to 24,747.57, 37,117.67 and 8,108.22 is: 12,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.57 : 37,117.67 = 8,108.22 : x
  2. Step 2: Convert to fraction form
    24,747.57/37,117.67 = 8,108.22/x
  3. Step 3: Cross multiply
    24,747.57x = 37,117.67 × 8,108.22
  4. Step 4: Simplify right side
    24,747.57x = 300,958,234.25
  5. Step 5: Solve for x
    x = 300,958,234.25/24,747.57
  6. Step 6: Final answer
    x = 12,161.12

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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.