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Finding the Fourth Proportional to 12,155.82, 18,229.56 and 5,911.84

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Solution

The fourth proportional to 12,155.82, 18,229.56 and 5,911.84 is: 8,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.82 : 18,229.56 = 5,911.84 : x
  2. Step 2: Convert to fraction form
    12,155.82/18,229.56 = 5,911.84/x
  3. Step 3: Cross multiply
    12,155.82x = 18,229.56 × 5,911.84
  4. Step 4: Simplify right side
    12,155.82x = 107,770,140.07
  5. Step 5: Solve for x
    x = 107,770,140.07/12,155.82
  6. Step 6: Final answer
    x = 8,865.72

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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.