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Finding the Fourth Proportional to 12,181.67, 18,268.78 and 6,335.09

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Solution

The fourth proportional to 12,181.67, 18,268.78 and 6,335.09 is: 9,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.67 : 18,268.78 = 6,335.09 : x
  2. Step 2: Convert to fraction form
    12,181.67/18,268.78 = 6,335.09/x
  3. Step 3: Cross multiply
    12,181.67x = 18,268.78 × 6,335.09
  4. Step 4: Simplify right side
    12,181.67x = 115,734,365.49
  5. Step 5: Solve for x
    x = 115,734,365.49/12,181.67
  6. Step 6: Final answer
    x = 9,500.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.