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Finding the Fourth Proportional to 12,118.17, 18,144.45 and 8,214.78

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Solution

The fourth proportional to 12,118.17, 18,144.45 and 8,214.78 is: 12,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.17 : 18,144.45 = 8,214.78 : x
  2. Step 2: Convert to fraction form
    12,118.17/18,144.45 = 8,214.78/x
  3. Step 3: Cross multiply
    12,118.17x = 18,144.45 × 8,214.78
  4. Step 4: Simplify right side
    12,118.17x = 149,052,664.97
  5. Step 5: Solve for x
    x = 149,052,664.97/12,118.17
  6. Step 6: Final answer
    x = 12,299.93

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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.