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Finding the Fourth Proportional to 13,793.13, 20,692.92 and 3,932.55

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Solution

The fourth proportional to 13,793.13, 20,692.92 and 3,932.55 is: 5,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.13 : 20,692.92 = 3,932.55 : x
  2. Step 2: Convert to fraction form
    13,793.13/20,692.92 = 3,932.55/x
  3. Step 3: Cross multiply
    13,793.13x = 20,692.92 × 3,932.55
  4. Step 4: Simplify right side
    13,793.13x = 81,375,942.55
  5. Step 5: Solve for x
    x = 81,375,942.55/13,793.13
  6. Step 6: Final answer
    x = 5,899.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.