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Finding the Fourth Proportional to 22,878.74, 34,320.90 and 8,084.64

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Solution

The fourth proportional to 22,878.74, 34,320.90 and 8,084.64 is: 12,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.74 : 34,320.90 = 8,084.64 : x
  2. Step 2: Convert to fraction form
    22,878.74/34,320.90 = 8,084.64/x
  3. Step 3: Cross multiply
    22,878.74x = 34,320.90 × 8,084.64
  4. Step 4: Simplify right side
    22,878.74x = 277,472,120.98
  5. Step 5: Solve for x
    x = 277,472,120.98/22,878.74
  6. Step 6: Final answer
    x = 12,127.95

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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.