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Finding the Fourth Proportional to 12,188.38, 18,282.56 and 2,954.38

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Solution

The fourth proportional to 12,188.38, 18,282.56 and 2,954.38 is: 4,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.38 : 18,282.56 = 2,954.38 : x
  2. Step 2: Convert to fraction form
    12,188.38/18,282.56 = 2,954.38/x
  3. Step 3: Cross multiply
    12,188.38x = 18,282.56 × 2,954.38
  4. Step 4: Simplify right side
    12,188.38x = 54,013,545.59
  5. Step 5: Solve for x
    x = 54,013,545.59/12,188.38
  6. Step 6: Final answer
    x = 4,431.56

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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.