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Finding the Fourth Proportional to 20,739.82, 31,098.19 and 12,309.75

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Solution

The fourth proportional to 20,739.82, 31,098.19 and 12,309.75 is: 18,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,739.82 : 31,098.19 = 12,309.75 : x
  2. Step 2: Convert to fraction form
    20,739.82/31,098.19 = 12,309.75/x
  3. Step 3: Cross multiply
    20,739.82x = 31,098.19 × 12,309.75
  4. Step 4: Simplify right side
    20,739.82x = 382,810,944.35
  5. Step 5: Solve for x
    x = 382,810,944.35/20,739.82
  6. Step 6: Final answer
    x = 18,457.78

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