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Finding the Fourth Proportional to 12,189.78, 18,291.98 and 11,198.34

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Solution

The fourth proportional to 12,189.78, 18,291.98 and 11,198.34 is: 16,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.78 : 18,291.98 = 11,198.34 : x
  2. Step 2: Convert to fraction form
    12,189.78/18,291.98 = 11,198.34/x
  3. Step 3: Cross multiply
    12,189.78x = 18,291.98 × 11,198.34
  4. Step 4: Simplify right side
    12,189.78x = 204,839,755.32
  5. Step 5: Solve for x
    x = 204,839,755.32/12,189.78
  6. Step 6: Final answer
    x = 16,804.22

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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.