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Finding the Fourth Proportional to 22,876.29, 34,314.84 and 8,084.88

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Solution

The fourth proportional to 22,876.29, 34,314.84 and 8,084.88 is: 12,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.29 : 34,314.84 = 8,084.88 : x
  2. Step 2: Convert to fraction form
    22,876.29/34,314.84 = 8,084.88/x
  3. Step 3: Cross multiply
    22,876.29x = 34,314.84 × 8,084.88
  4. Step 4: Simplify right side
    22,876.29x = 277,431,363.62
  5. Step 5: Solve for x
    x = 277,431,363.62/22,876.29
  6. Step 6: Final answer
    x = 12,127.46

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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.