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Finding the Fourth Proportional to 27,827.69, 41,745.46 and 9,109.24

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Solution

The fourth proportional to 27,827.69, 41,745.46 and 9,109.24 is: 13,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.69 : 41,745.46 = 9,109.24 : x
  2. Step 2: Convert to fraction form
    27,827.69/41,745.46 = 9,109.24/x
  3. Step 3: Cross multiply
    27,827.69x = 41,745.46 × 9,109.24
  4. Step 4: Simplify right side
    27,827.69x = 380,269,443.46
  5. Step 5: Solve for x
    x = 380,269,443.46/27,827.69
  6. Step 6: Final answer
    x = 13,665.15

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