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Finding the Fourth Proportional to 12,183.64, 18,282.75 and 11,192.20

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Solution

The fourth proportional to 12,183.64, 18,282.75 and 11,192.20 is: 16,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.64 : 18,282.75 = 11,192.20 : x
  2. Step 2: Convert to fraction form
    12,183.64/18,282.75 = 11,192.20/x
  3. Step 3: Cross multiply
    12,183.64x = 18,282.75 × 11,192.20
  4. Step 4: Simplify right side
    12,183.64x = 204,624,092.88
  5. Step 5: Solve for x
    x = 204,624,092.88/12,183.64
  6. Step 6: Final answer
    x = 16,794.99

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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.