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Finding the Fourth Proportional to 13,942.84, 20,922.42 and 5,183.80

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Solution

The fourth proportional to 13,942.84, 20,922.42 and 5,183.80 is: 7,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.84 : 20,922.42 = 5,183.80 : x
  2. Step 2: Convert to fraction form
    13,942.84/20,922.42 = 5,183.80/x
  3. Step 3: Cross multiply
    13,942.84x = 20,922.42 × 5,183.80
  4. Step 4: Simplify right side
    13,942.84x = 108,457,640.80
  5. Step 5: Solve for x
    x = 108,457,640.80/13,942.84
  6. Step 6: Final answer
    x = 7,778.73

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