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Finding the Fourth Proportional to 13,838.80, 20,761.38 and 3,978.16

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Solution

The fourth proportional to 13,838.80, 20,761.38 and 3,978.16 is: 5,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.80 : 20,761.38 = 3,978.16 : x
  2. Step 2: Convert to fraction form
    13,838.80/20,761.38 = 3,978.16/x
  3. Step 3: Cross multiply
    13,838.80x = 20,761.38 × 3,978.16
  4. Step 4: Simplify right side
    13,838.80x = 82,592,091.46
  5. Step 5: Solve for x
    x = 82,592,091.46/13,838.80
  6. Step 6: Final answer
    x = 5,968.15

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