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Finding the Fourth Proportional to 13,842.82, 20,766.97 and 5,077.81

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Solution

The fourth proportional to 13,842.82, 20,766.97 and 5,077.81 is: 7,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.82 : 20,766.97 = 5,077.81 : x
  2. Step 2: Convert to fraction form
    13,842.82/20,766.97 = 5,077.81/x
  3. Step 3: Cross multiply
    13,842.82x = 20,766.97 × 5,077.81
  4. Step 4: Simplify right side
    13,842.82x = 105,450,702.55
  5. Step 5: Solve for x
    x = 105,450,702.55/13,842.82
  6. Step 6: Final answer
    x = 7,617.72

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