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Finding the Fourth Proportional to 22,286.57, 30,755.69 and 12,214.78

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Solution

The fourth proportional to 22,286.57, 30,755.69 and 12,214.78 is: 16,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.57 : 30,755.69 = 12,214.78 : x
  2. Step 2: Convert to fraction form
    22,286.57/30,755.69 = 12,214.78/x
  3. Step 3: Cross multiply
    22,286.57x = 30,755.69 × 12,214.78
  4. Step 4: Simplify right side
    22,286.57x = 375,673,963.65
  5. Step 5: Solve for x
    x = 375,673,963.65/22,286.57
  6. Step 6: Final answer
    x = 16,856.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.