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Finding the Fourth Proportional to 13,728.20, 20,592.30 and 6,801.80

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Solution

The fourth proportional to 13,728.20, 20,592.30 and 6,801.80 is: 10,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.20 : 20,592.30 = 6,801.80 : x
  2. Step 2: Convert to fraction form
    13,728.20/20,592.30 = 6,801.80/x
  3. Step 3: Cross multiply
    13,728.20x = 20,592.30 × 6,801.80
  4. Step 4: Simplify right side
    13,728.20x = 140,064,706.14
  5. Step 5: Solve for x
    x = 140,064,706.14/13,728.20
  6. Step 6: Final answer
    x = 10,202.70

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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.