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Finding the Fourth Proportional to 20,198.68, 27,880.47 and 13,822.87

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Solution

The fourth proportional to 20,198.68, 27,880.47 and 13,822.87 is: 19,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.68 : 27,880.47 = 13,822.87 : x
  2. Step 2: Convert to fraction form
    20,198.68/27,880.47 = 13,822.87/x
  3. Step 3: Cross multiply
    20,198.68x = 27,880.47 × 13,822.87
  4. Step 4: Simplify right side
    20,198.68x = 385,388,112.35
  5. Step 5: Solve for x
    x = 385,388,112.35/20,198.68
  6. Step 6: Final answer
    x = 19,079.87

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