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Finding the Fourth Proportional to 13,728.40, 20,592.54 and 3,340.20

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Solution

The fourth proportional to 13,728.40, 20,592.54 and 3,340.20 is: 5,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.40 : 20,592.54 = 3,340.20 : x
  2. Step 2: Convert to fraction form
    13,728.40/20,592.54 = 3,340.20/x
  3. Step 3: Cross multiply
    13,728.40x = 20,592.54 × 3,340.20
  4. Step 4: Simplify right side
    13,728.40x = 68,783,202.11
  5. Step 5: Solve for x
    x = 68,783,202.11/13,728.40
  6. Step 6: Final answer
    x = 5,010.29

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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.