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Finding the Fourth Proportional to 13,584.27, 20,380.84 and 6,565.09

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Solution

The fourth proportional to 13,584.27, 20,380.84 and 6,565.09 is: 9,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.27 : 20,380.84 = 6,565.09 : x
  2. Step 2: Convert to fraction form
    13,584.27/20,380.84 = 6,565.09/x
  3. Step 3: Cross multiply
    13,584.27x = 20,380.84 × 6,565.09
  4. Step 4: Simplify right side
    13,584.27x = 133,802,048.88
  5. Step 5: Solve for x
    x = 133,802,048.88/13,584.27
  6. Step 6: Final answer
    x = 9,849.78

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