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Finding the Fourth Proportional to 12,202.83, 16,796.57 and 8,659.89

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Solution

The fourth proportional to 12,202.83, 16,796.57 and 8,659.89 is: 11,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.83 : 16,796.57 = 8,659.89 : x
  2. Step 2: Convert to fraction form
    12,202.83/16,796.57 = 8,659.89/x
  3. Step 3: Cross multiply
    12,202.83x = 16,796.57 × 8,659.89
  4. Step 4: Simplify right side
    12,202.83x = 145,456,405.28
  5. Step 5: Solve for x
    x = 145,456,405.28/12,202.83
  6. Step 6: Final answer
    x = 11,919.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.