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Finding the Fourth Proportional to 12,202.08, 18,286.62 and 5,534.46

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Solution

The fourth proportional to 12,202.08, 18,286.62 and 5,534.46 is: 8,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.08 : 18,286.62 = 5,534.46 : x
  2. Step 2: Convert to fraction form
    12,202.08/18,286.62 = 5,534.46/x
  3. Step 3: Cross multiply
    12,202.08x = 18,286.62 × 5,534.46
  4. Step 4: Simplify right side
    12,202.08x = 101,206,566.93
  5. Step 5: Solve for x
    x = 101,206,566.93/12,202.08
  6. Step 6: Final answer
    x = 8,294.21

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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.