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Finding the Fourth Proportional to 22,251.38, 30,704.82 and 13,297.10

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Solution

The fourth proportional to 22,251.38, 30,704.82 and 13,297.10 is: 18,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.38 : 30,704.82 = 13,297.10 : x
  2. Step 2: Convert to fraction form
    22,251.38/30,704.82 = 13,297.10/x
  3. Step 3: Cross multiply
    22,251.38x = 30,704.82 × 13,297.10
  4. Step 4: Simplify right side
    22,251.38x = 408,285,062.02
  5. Step 5: Solve for x
    x = 408,285,062.02/22,251.38
  6. Step 6: Final answer
    x = 18,348.75

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Why These Related Problems?

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