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Finding the Fourth Proportional to 13,728.70, 20,593.05 and 3,866.69

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Solution

The fourth proportional to 13,728.70, 20,593.05 and 3,866.69 is: 5,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.70 : 20,593.05 = 3,866.69 : x
  2. Step 2: Convert to fraction form
    13,728.70/20,593.05 = 3,866.69/x
  3. Step 3: Cross multiply
    13,728.70x = 20,593.05 × 3,866.69
  4. Step 4: Simplify right side
    13,728.70x = 79,626,977.49
  5. Step 5: Solve for x
    x = 79,626,977.49/13,728.70
  6. Step 6: Final answer
    x = 5,800.04

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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.