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Finding the Fourth Proportional to 13,728.87, 20,593.31 and 3,867.93

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Solution

The fourth proportional to 13,728.87, 20,593.31 and 3,867.93 is: 5,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.87 : 20,593.31 = 3,867.93 : x
  2. Step 2: Convert to fraction form
    13,728.87/20,593.31 = 3,867.93/x
  3. Step 3: Cross multiply
    13,728.87x = 20,593.31 × 3,867.93
  4. Step 4: Simplify right side
    13,728.87x = 79,653,462.21
  5. Step 5: Solve for x
    x = 79,653,462.21/13,728.87
  6. Step 6: Final answer
    x = 5,801.90

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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.