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Finding the Fourth Proportional to 13,462.14, 20,194.53 and 5,149.14

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Solution

The fourth proportional to 13,462.14, 20,194.53 and 5,149.14 is: 7,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.14 : 20,194.53 = 5,149.14 : x
  2. Step 2: Convert to fraction form
    13,462.14/20,194.53 = 5,149.14/x
  3. Step 3: Cross multiply
    13,462.14x = 20,194.53 × 5,149.14
  4. Step 4: Simplify right side
    13,462.14x = 103,984,462.20
  5. Step 5: Solve for x
    x = 103,984,462.20/13,462.14
  6. Step 6: Final answer
    x = 7,724.21

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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.