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Finding the Fourth Proportional to 13,838.81, 20,758.10 and 3,978.05

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Solution

The fourth proportional to 13,838.81, 20,758.10 and 3,978.05 is: 5,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.81 : 20,758.10 = 3,978.05 : x
  2. Step 2: Convert to fraction form
    13,838.81/20,758.10 = 3,978.05/x
  3. Step 3: Cross multiply
    13,838.81x = 20,758.10 × 3,978.05
  4. Step 4: Simplify right side
    13,838.81x = 82,576,636.02
  5. Step 5: Solve for x
    x = 82,576,636.02/13,838.81
  6. Step 6: Final answer
    x = 5,967.04

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