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Finding the Fourth Proportional to 20,149.26, 27,806.13 and 11,197.59

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Solution

The fourth proportional to 20,149.26, 27,806.13 and 11,197.59 is: 15,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.26 : 27,806.13 = 11,197.59 : x
  2. Step 2: Convert to fraction form
    20,149.26/27,806.13 = 11,197.59/x
  3. Step 3: Cross multiply
    20,149.26x = 27,806.13 × 11,197.59
  4. Step 4: Simplify right side
    20,149.26x = 311,361,643.23
  5. Step 5: Solve for x
    x = 311,361,643.23/20,149.26
  6. Step 6: Final answer
    x = 15,452.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.