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Finding the Fourth Proportional to 31,843.67, 47,765.92 and 13,827.75

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Solution

The fourth proportional to 31,843.67, 47,765.92 and 13,827.75 is: 20,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.67 : 47,765.92 = 13,827.75 : x
  2. Step 2: Convert to fraction form
    31,843.67/47,765.92 = 13,827.75/x
  3. Step 3: Cross multiply
    31,843.67x = 47,765.92 × 13,827.75
  4. Step 4: Simplify right side
    31,843.67x = 660,495,200.28
  5. Step 5: Solve for x
    x = 660,495,200.28/31,843.67
  6. Step 6: Final answer
    x = 20,741.81

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