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Finding the Fourth Proportional to 20,829.59, 31,228.77 and 6,781.22

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Solution

The fourth proportional to 20,829.59, 31,228.77 and 6,781.22 is: 10,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.59 : 31,228.77 = 6,781.22 : x
  2. Step 2: Convert to fraction form
    20,829.59/31,228.77 = 6,781.22/x
  3. Step 3: Cross multiply
    20,829.59x = 31,228.77 × 6,781.22
  4. Step 4: Simplify right side
    20,829.59x = 211,769,237.77
  5. Step 5: Solve for x
    x = 211,769,237.77/20,829.59
  6. Step 6: Final answer
    x = 10,166.75

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