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Finding the Fourth Proportional to 13,785.83, 20,675.92 and 3,922.46

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Solution

The fourth proportional to 13,785.83, 20,675.92 and 3,922.46 is: 5,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.83 : 20,675.92 = 3,922.46 : x
  2. Step 2: Convert to fraction form
    13,785.83/20,675.92 = 3,922.46/x
  3. Step 3: Cross multiply
    13,785.83x = 20,675.92 × 3,922.46
  4. Step 4: Simplify right side
    13,785.83x = 81,100,469.16
  5. Step 5: Solve for x
    x = 81,100,469.16/13,785.83
  6. Step 6: Final answer
    x = 5,882.89

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