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Finding the Fourth Proportional to 12,846.28, 17,724.90 and 7,540.84

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Solution

The fourth proportional to 12,846.28, 17,724.90 and 7,540.84 is: 10,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.28 : 17,724.90 = 7,540.84 : x
  2. Step 2: Convert to fraction form
    12,846.28/17,724.90 = 7,540.84/x
  3. Step 3: Cross multiply
    12,846.28x = 17,724.90 × 7,540.84
  4. Step 4: Simplify right side
    12,846.28x = 133,660,634.92
  5. Step 5: Solve for x
    x = 133,660,634.92/12,846.28
  6. Step 6: Final answer
    x = 10,404.62

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