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Finding the Fourth Proportional to 27,735.74, 41,609.20 and 10,205.18

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Solution

The fourth proportional to 27,735.74, 41,609.20 and 10,205.18 is: 15,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.74 : 41,609.20 = 10,205.18 : x
  2. Step 2: Convert to fraction form
    27,735.74/41,609.20 = 10,205.18/x
  3. Step 3: Cross multiply
    27,735.74x = 41,609.20 × 10,205.18
  4. Step 4: Simplify right side
    27,735.74x = 424,629,375.66
  5. Step 5: Solve for x
    x = 424,629,375.66/27,735.74
  6. Step 6: Final answer
    x = 15,309.83

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