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Finding the Fourth Proportional to 12,814.31, 17,683.77 and 7,148.92

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Solution

The fourth proportional to 12,814.31, 17,683.77 and 7,148.92 is: 9,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.31 : 17,683.77 = 7,148.92 : x
  2. Step 2: Convert to fraction form
    12,814.31/17,683.77 = 7,148.92/x
  3. Step 3: Cross multiply
    12,814.31x = 17,683.77 × 7,148.92
  4. Step 4: Simplify right side
    12,814.31x = 126,419,786.48
  5. Step 5: Solve for x
    x = 126,419,786.48/12,814.31
  6. Step 6: Final answer
    x = 9,865.52

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