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Finding the Fourth Proportional to 20,200.50, 27,878.85 and 11,824.02

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Solution

The fourth proportional to 20,200.50, 27,878.85 and 11,824.02 is: 16,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.50 : 27,878.85 = 11,824.02 : x
  2. Step 2: Convert to fraction form
    20,200.50/27,878.85 = 11,824.02/x
  3. Step 3: Cross multiply
    20,200.50x = 27,878.85 × 11,824.02
  4. Step 4: Simplify right side
    20,200.50x = 329,640,079.98
  5. Step 5: Solve for x
    x = 329,640,079.98/20,200.50
  6. Step 6: Final answer
    x = 16,318.41

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