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Finding the Fourth Proportional to 12,166.10, 18,249.03 and 3,846.11

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Solution

The fourth proportional to 12,166.10, 18,249.03 and 3,846.11 is: 5,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.10 : 18,249.03 = 3,846.11 : x
  2. Step 2: Convert to fraction form
    12,166.10/18,249.03 = 3,846.11/x
  3. Step 3: Cross multiply
    12,166.10x = 18,249.03 × 3,846.11
  4. Step 4: Simplify right side
    12,166.10x = 70,187,776.77
  5. Step 5: Solve for x
    x = 70,187,776.77/12,166.10
  6. Step 6: Final answer
    x = 5,769.13

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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.