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Finding the Fourth Proportional to 13,342.20, 20,016.54 and 3,982.14

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Solution

The fourth proportional to 13,342.20, 20,016.54 and 3,982.14 is: 5,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.20 : 20,016.54 = 3,982.14 : x
  2. Step 2: Convert to fraction form
    13,342.20/20,016.54 = 3,982.14/x
  3. Step 3: Cross multiply
    13,342.20x = 20,016.54 × 3,982.14
  4. Step 4: Simplify right side
    13,342.20x = 79,708,664.60
  5. Step 5: Solve for x
    x = 79,708,664.60/13,342.20
  6. Step 6: Final answer
    x = 5,974.18

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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.