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Finding the Fourth Proportional to 22,949.38, 34,414.35 and 8,162.02

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Solution

The fourth proportional to 22,949.38, 34,414.35 and 8,162.02 is: 12,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.38 : 34,414.35 = 8,162.02 : x
  2. Step 2: Convert to fraction form
    22,949.38/34,414.35 = 8,162.02/x
  3. Step 3: Cross multiply
    22,949.38x = 34,414.35 × 8,162.02
  4. Step 4: Simplify right side
    22,949.38x = 280,890,612.99
  5. Step 5: Solve for x
    x = 280,890,612.99/22,949.38
  6. Step 6: Final answer
    x = 12,239.57

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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.