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Finding the Fourth Proportional to 12,198.70, 18,262.41 and 11,031.39

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Solution

The fourth proportional to 12,198.70, 18,262.41 and 11,031.39 is: 16,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.70 : 18,262.41 = 11,031.39 : x
  2. Step 2: Convert to fraction form
    12,198.70/18,262.41 = 11,031.39/x
  3. Step 3: Cross multiply
    12,198.70x = 18,262.41 × 11,031.39
  4. Step 4: Simplify right side
    12,198.70x = 201,459,767.05
  5. Step 5: Solve for x
    x = 201,459,767.05/12,198.70
  6. Step 6: Final answer
    x = 16,514.86

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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.