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Finding the Fourth Proportional to 13,940.24, 20,912.31 and 4,080.24

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Solution

The fourth proportional to 13,940.24, 20,912.31 and 4,080.24 is: 6,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.24 : 20,912.31 = 4,080.24 : x
  2. Step 2: Convert to fraction form
    13,940.24/20,912.31 = 4,080.24/x
  3. Step 3: Cross multiply
    13,940.24x = 20,912.31 × 4,080.24
  4. Step 4: Simplify right side
    13,940.24x = 85,327,243.75
  5. Step 5: Solve for x
    x = 85,327,243.75/13,940.24
  6. Step 6: Final answer
    x = 6,120.93

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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.