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Finding the Fourth Proportional to 13,702.82, 20,557.76 and 3,842.19

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Solution

The fourth proportional to 13,702.82, 20,557.76 and 3,842.19 is: 5,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.82 : 20,557.76 = 3,842.19 : x
  2. Step 2: Convert to fraction form
    13,702.82/20,557.76 = 3,842.19/x
  3. Step 3: Cross multiply
    13,702.82x = 20,557.76 × 3,842.19
  4. Step 4: Simplify right side
    13,702.82x = 78,986,800.68
  5. Step 5: Solve for x
    x = 78,986,800.68/13,702.82
  6. Step 6: Final answer
    x = 5,764.28

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