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Finding the Fourth Proportional to 24,217.92, 36,328.50 and 8,422.38

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Solution

The fourth proportional to 24,217.92, 36,328.50 and 8,422.38 is: 12,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.92 : 36,328.50 = 8,422.38 : x
  2. Step 2: Convert to fraction form
    24,217.92/36,328.50 = 8,422.38/x
  3. Step 3: Cross multiply
    24,217.92x = 36,328.50 × 8,422.38
  4. Step 4: Simplify right side
    24,217.92x = 305,972,431.83
  5. Step 5: Solve for x
    x = 305,972,431.83/24,217.92
  6. Step 6: Final answer
    x = 12,634.13

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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.