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Finding the Fourth Proportional to 12,165.82, 18,249.18 and 5,501.05

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Solution

The fourth proportional to 12,165.82, 18,249.18 and 5,501.05 is: 8,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.82 : 18,249.18 = 5,501.05 : x
  2. Step 2: Convert to fraction form
    12,165.82/18,249.18 = 5,501.05/x
  3. Step 3: Cross multiply
    12,165.82x = 18,249.18 × 5,501.05
  4. Step 4: Simplify right side
    12,165.82x = 100,389,651.64
  5. Step 5: Solve for x
    x = 100,389,651.64/12,165.82
  6. Step 6: Final answer
    x = 8,251.78

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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.