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Finding the Fourth Proportional to 13,813.94, 19,057.85 and 7,844.80

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Solution

The fourth proportional to 13,813.94, 19,057.85 and 7,844.80 is: 10,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.94 : 19,057.85 = 7,844.80 : x
  2. Step 2: Convert to fraction form
    13,813.94/19,057.85 = 7,844.80/x
  3. Step 3: Cross multiply
    13,813.94x = 19,057.85 × 7,844.80
  4. Step 4: Simplify right side
    13,813.94x = 149,505,021.68
  5. Step 5: Solve for x
    x = 149,505,021.68/13,813.94
  6. Step 6: Final answer
    x = 10,822.76

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