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Finding the Fourth Proportional to 21,331.90, 31,998.66 and 8,185.60

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Solution

The fourth proportional to 21,331.90, 31,998.66 and 8,185.60 is: 12,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.90 : 31,998.66 = 8,185.60 : x
  2. Step 2: Convert to fraction form
    21,331.90/31,998.66 = 8,185.60/x
  3. Step 3: Cross multiply
    21,331.90x = 31,998.66 × 8,185.60
  4. Step 4: Simplify right side
    21,331.90x = 261,928,231.30
  5. Step 5: Solve for x
    x = 261,928,231.30/21,331.90
  6. Step 6: Final answer
    x = 12,278.71

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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.