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Finding the Fourth Proportional to 13,812.90, 20,732.40 and 7,243.80

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Solution

The fourth proportional to 13,812.90, 20,732.40 and 7,243.80 is: 10,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.90 : 20,732.40 = 7,243.80 : x
  2. Step 2: Convert to fraction form
    13,812.90/20,732.40 = 7,243.80/x
  3. Step 3: Cross multiply
    13,812.90x = 20,732.40 × 7,243.80
  4. Step 4: Simplify right side
    13,812.90x = 150,181,359.12
  5. Step 5: Solve for x
    x = 150,181,359.12/13,812.90
  6. Step 6: Final answer
    x = 10,872.54

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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.