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Finding the Fourth Proportional to 12,427.67, 18,644.82 and 5,409.18

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Solution

The fourth proportional to 12,427.67, 18,644.82 and 5,409.18 is: 8,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.67 : 18,644.82 = 5,409.18 : x
  2. Step 2: Convert to fraction form
    12,427.67/18,644.82 = 5,409.18/x
  3. Step 3: Cross multiply
    12,427.67x = 18,644.82 × 5,409.18
  4. Step 4: Simplify right side
    12,427.67x = 100,853,187.45
  5. Step 5: Solve for x
    x = 100,853,187.45/12,427.67
  6. Step 6: Final answer
    x = 8,115.22

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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.