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Finding the Fourth Proportional to 20,800.56, 31,173.84 and 15,852

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Solution

The fourth proportional to 20,800.56, 31,173.84 and 15,852 is: 23,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.56 : 31,173.84 = 15,852 : x
  2. Step 2: Convert to fraction form
    20,800.56/31,173.84 = 15,852/x
  3. Step 3: Cross multiply
    20,800.56x = 31,173.84 × 15,852
  4. Step 4: Simplify right side
    20,800.56x = 494,167,711.68
  5. Step 5: Solve for x
    x = 494,167,711.68/20,800.56
  6. Step 6: Final answer
    x = 23,757.42

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