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Finding the Fourth Proportional to 13,814.57, 20,721.84 and 6,414.99

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Solution

The fourth proportional to 13,814.57, 20,721.84 and 6,414.99 is: 9,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.57 : 20,721.84 = 6,414.99 : x
  2. Step 2: Convert to fraction form
    13,814.57/20,721.84 = 6,414.99/x
  3. Step 3: Cross multiply
    13,814.57x = 20,721.84 × 6,414.99
  4. Step 4: Simplify right side
    13,814.57x = 132,930,396.38
  5. Step 5: Solve for x
    x = 132,930,396.38/13,814.57
  6. Step 6: Final answer
    x = 9,622.48

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