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Finding the Fourth Proportional to 13,832.64, 20,742.84 and 3,969.68

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Solution

The fourth proportional to 13,832.64, 20,742.84 and 3,969.68 is: 5,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.64 : 20,742.84 = 3,969.68 : x
  2. Step 2: Convert to fraction form
    13,832.64/20,742.84 = 3,969.68/x
  3. Step 3: Cross multiply
    13,832.64x = 20,742.84 × 3,969.68
  4. Step 4: Simplify right side
    13,832.64x = 82,342,437.09
  5. Step 5: Solve for x
    x = 82,342,437.09/13,832.64
  6. Step 6: Final answer
    x = 5,952.76

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