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Finding the Fourth Proportional to 22,948.38, 34,412.85 and 8,161.02

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Solution

The fourth proportional to 22,948.38, 34,412.85 and 8,161.02 is: 12,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.38 : 34,412.85 = 8,161.02 : x
  2. Step 2: Convert to fraction form
    22,948.38/34,412.85 = 8,161.02/x
  3. Step 3: Cross multiply
    22,948.38x = 34,412.85 × 8,161.02
  4. Step 4: Simplify right side
    22,948.38x = 280,843,957.11
  5. Step 5: Solve for x
    x = 280,843,957.11/22,948.38
  6. Step 6: Final answer
    x = 12,238.07

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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.