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Finding the Fourth Proportional to 24,882.97, 34,338.50 and 13,704.97

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Solution

The fourth proportional to 24,882.97, 34,338.50 and 13,704.97 is: 18,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.97 : 34,338.50 = 13,704.97 : x
  2. Step 2: Convert to fraction form
    24,882.97/34,338.50 = 13,704.97/x
  3. Step 3: Cross multiply
    24,882.97x = 34,338.50 × 13,704.97
  4. Step 4: Simplify right side
    24,882.97x = 470,608,043.82
  5. Step 5: Solve for x
    x = 470,608,043.82/24,882.97
  6. Step 6: Final answer
    x = 18,912.86

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1.5x scale

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.