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Finding the Fourth Proportional to 13,899.78, 20,857.86 and 5,140.80

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Solution

The fourth proportional to 13,899.78, 20,857.86 and 5,140.80 is: 7,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899.78 : 20,857.86 = 5,140.80 : x
  2. Step 2: Convert to fraction form
    13,899.78/20,857.86 = 5,140.80/x
  3. Step 3: Cross multiply
    13,899.78x = 20,857.86 × 5,140.80
  4. Step 4: Simplify right side
    13,899.78x = 107,226,086.69
  5. Step 5: Solve for x
    x = 107,226,086.69/13,899.78
  6. Step 6: Final answer
    x = 7,714.23

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