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Finding the Fourth Proportional to 12,101.67, 18,138.90 and 6,161.89

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Solution

The fourth proportional to 12,101.67, 18,138.90 and 6,161.89 is: 9,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.67 : 18,138.90 = 6,161.89 : x
  2. Step 2: Convert to fraction form
    12,101.67/18,138.90 = 6,161.89/x
  3. Step 3: Cross multiply
    12,101.67x = 18,138.90 × 6,161.89
  4. Step 4: Simplify right side
    12,101.67x = 111,769,906.52
  5. Step 5: Solve for x
    x = 111,769,906.52/12,101.67
  6. Step 6: Final answer
    x = 9,235.91

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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.