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Finding the Fourth Proportional to 22,878.70, 34,320.82 and 8,084.58

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Solution

The fourth proportional to 22,878.70, 34,320.82 and 8,084.58 is: 12,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.70 : 34,320.82 = 8,084.58 : x
  2. Step 2: Convert to fraction form
    22,878.70/34,320.82 = 8,084.58/x
  3. Step 3: Cross multiply
    22,878.70x = 34,320.82 × 8,084.58
  4. Step 4: Simplify right side
    22,878.70x = 277,469,414.96
  5. Step 5: Solve for x
    x = 277,469,414.96/22,878.70
  6. Step 6: Final answer
    x = 12,127.85

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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.