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Finding the Fourth Proportional to 12,165.78, 18,249.30 and 3,846.06

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Solution

The fourth proportional to 12,165.78, 18,249.30 and 3,846.06 is: 5,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.78 : 18,249.30 = 3,846.06 : x
  2. Step 2: Convert to fraction form
    12,165.78/18,249.30 = 3,846.06/x
  3. Step 3: Cross multiply
    12,165.78x = 18,249.30 × 3,846.06
  4. Step 4: Simplify right side
    12,165.78x = 70,187,902.76
  5. Step 5: Solve for x
    x = 70,187,902.76/12,165.78
  6. Step 6: Final answer
    x = 5,769.29

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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.