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Finding the Fourth Proportional to 13,733.80, 20,593.02 and 5,523.88

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Solution

The fourth proportional to 13,733.80, 20,593.02 and 5,523.88 is: 8,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.80 : 20,593.02 = 5,523.88 : x
  2. Step 2: Convert to fraction form
    13,733.80/20,593.02 = 5,523.88/x
  3. Step 3: Cross multiply
    13,733.80x = 20,593.02 × 5,523.88
  4. Step 4: Simplify right side
    13,733.80x = 113,753,371.32
  5. Step 5: Solve for x
    x = 113,753,371.32/13,733.80
  6. Step 6: Final answer
    x = 8,282.73

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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.