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Finding the Fourth Proportional to 22,963.38, 34,448.31 and 8,167.92

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Solution

The fourth proportional to 22,963.38, 34,448.31 and 8,167.92 is: 12,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.38 : 34,448.31 = 8,167.92 : x
  2. Step 2: Convert to fraction form
    22,963.38/34,448.31 = 8,167.92/x
  3. Step 3: Cross multiply
    22,963.38x = 34,448.31 × 8,167.92
  4. Step 4: Simplify right side
    22,963.38x = 281,371,040.22
  5. Step 5: Solve for x
    x = 281,371,040.22/22,963.38
  6. Step 6: Final answer
    x = 12,253.03

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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.