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Finding the Fourth Proportional to 13,822.92, 20,735.46 and 5,057.64

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Solution

The fourth proportional to 13,822.92, 20,735.46 and 5,057.64 is: 7,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.92 : 20,735.46 = 5,057.64 : x
  2. Step 2: Convert to fraction form
    13,822.92/20,735.46 = 5,057.64/x
  3. Step 3: Cross multiply
    13,822.92x = 20,735.46 × 5,057.64
  4. Step 4: Simplify right side
    13,822.92x = 104,872,491.91
  5. Step 5: Solve for x
    x = 104,872,491.91/13,822.92
  6. Step 6: Final answer
    x = 7,586.86

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