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Finding the Fourth Proportional to 12,111.66, 18,163.17 and 3,789.18

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Solution

The fourth proportional to 12,111.66, 18,163.17 and 3,789.18 is: 5,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.66 : 18,163.17 = 3,789.18 : x
  2. Step 2: Convert to fraction form
    12,111.66/18,163.17 = 3,789.18/x
  3. Step 3: Cross multiply
    12,111.66x = 18,163.17 × 3,789.18
  4. Step 4: Simplify right side
    12,111.66x = 68,823,520.50
  5. Step 5: Solve for x
    x = 68,823,520.50/12,111.66
  6. Step 6: Final answer
    x = 5,682.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.