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Finding the Fourth Proportional to 27,854.86, 41,778.19 and 9,136.88

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Solution

The fourth proportional to 27,854.86, 41,778.19 and 9,136.88 is: 13,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.86 : 41,778.19 = 9,136.88 : x
  2. Step 2: Convert to fraction form
    27,854.86/41,778.19 = 9,136.88/x
  3. Step 3: Cross multiply
    27,854.86x = 41,778.19 × 9,136.88
  4. Step 4: Simplify right side
    27,854.86x = 381,722,163.19
  5. Step 5: Solve for x
    x = 381,722,163.19/27,854.86
  6. Step 6: Final answer
    x = 13,703.97

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