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Finding the Fourth Proportional to 13,728.32, 20,593.30 and 3,868.44

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Solution

The fourth proportional to 13,728.32, 20,593.30 and 3,868.44 is: 5,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.32 : 20,593.30 = 3,868.44 : x
  2. Step 2: Convert to fraction form
    13,728.32/20,593.30 = 3,868.44/x
  3. Step 3: Cross multiply
    13,728.32x = 20,593.30 × 3,868.44
  4. Step 4: Simplify right side
    13,728.32x = 79,663,945.45
  5. Step 5: Solve for x
    x = 79,663,945.45/13,728.32
  6. Step 6: Final answer
    x = 5,802.89

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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.