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Finding the Fourth Proportional to 13,723.56, 20,593.74 and 5,932.20

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Solution

The fourth proportional to 13,723.56, 20,593.74 and 5,932.20 is: 8,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.56 : 20,593.74 = 5,932.20 : x
  2. Step 2: Convert to fraction form
    13,723.56/20,593.74 = 5,932.20/x
  3. Step 3: Cross multiply
    13,723.56x = 20,593.74 × 5,932.20
  4. Step 4: Simplify right side
    13,723.56x = 122,166,184.43
  5. Step 5: Solve for x
    x = 122,166,184.43/13,723.56
  6. Step 6: Final answer
    x = 8,901.93

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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.