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Finding the Fourth Proportional to 12,183.84, 18,240.16 and 11,016.56

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Solution

The fourth proportional to 12,183.84, 18,240.16 and 11,016.56 is: 16,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.84 : 18,240.16 = 11,016.56 : x
  2. Step 2: Convert to fraction form
    12,183.84/18,240.16 = 11,016.56/x
  3. Step 3: Cross multiply
    12,183.84x = 18,240.16 × 11,016.56
  4. Step 4: Simplify right side
    12,183.84x = 200,943,817.05
  5. Step 5: Solve for x
    x = 200,943,817.05/12,183.84
  6. Step 6: Final answer
    x = 16,492.65

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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.