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Finding the Fourth Proportional to 13,544.75, 20,325.18 and 6,149.12

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Solution

The fourth proportional to 13,544.75, 20,325.18 and 6,149.12 is: 9,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.75 : 20,325.18 = 6,149.12 : x
  2. Step 2: Convert to fraction form
    13,544.75/20,325.18 = 6,149.12/x
  3. Step 3: Cross multiply
    13,544.75x = 20,325.18 × 6,149.12
  4. Step 4: Simplify right side
    13,544.75x = 124,981,869.22
  5. Step 5: Solve for x
    x = 124,981,869.22/13,544.75
  6. Step 6: Final answer
    x = 9,227.33

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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.