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Finding the Fourth Proportional to 27,005.76, 40,511.07 and 13,849.74

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Solution

The fourth proportional to 27,005.76, 40,511.07 and 13,849.74 is: 20,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.76 : 40,511.07 = 13,849.74 : x
  2. Step 2: Convert to fraction form
    27,005.76/40,511.07 = 13,849.74/x
  3. Step 3: Cross multiply
    27,005.76x = 40,511.07 × 13,849.74
  4. Step 4: Simplify right side
    27,005.76x = 561,067,786.62
  5. Step 5: Solve for x
    x = 561,067,786.62/27,005.76
  6. Step 6: Final answer
    x = 20,775.86

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