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Finding the Fourth Proportional to 12,198.68, 18,305.28 and 11,207.24

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Solution

The fourth proportional to 12,198.68, 18,305.28 and 11,207.24 is: 16,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.68 : 18,305.28 = 11,207.24 : x
  2. Step 2: Convert to fraction form
    12,198.68/18,305.28 = 11,207.24/x
  3. Step 3: Cross multiply
    12,198.68x = 18,305.28 × 11,207.24
  4. Step 4: Simplify right side
    12,198.68x = 205,151,666.23
  5. Step 5: Solve for x
    x = 205,151,666.23/12,198.68
  6. Step 6: Final answer
    x = 16,817.53

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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.