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Finding the Fourth Proportional to 12,165.89, 18,249.83 and 3,846.38

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Solution

The fourth proportional to 12,165.89, 18,249.83 and 3,846.38 is: 5,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.89 : 18,249.83 = 3,846.38 : x
  2. Step 2: Convert to fraction form
    12,165.89/18,249.83 = 3,846.38/x
  3. Step 3: Cross multiply
    12,165.89x = 18,249.83 × 3,846.38
  4. Step 4: Simplify right side
    12,165.89x = 70,195,670.63
  5. Step 5: Solve for x
    x = 70,195,670.63/12,165.89
  6. Step 6: Final answer
    x = 5,769.88

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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.