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Finding the Fourth Proportional to 12,194.56, 18,291.72 and 2,960.56

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Solution

The fourth proportional to 12,194.56, 18,291.72 and 2,960.56 is: 4,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.56 : 18,291.72 = 2,960.56 : x
  2. Step 2: Convert to fraction form
    12,194.56/18,291.72 = 2,960.56/x
  3. Step 3: Cross multiply
    12,194.56x = 18,291.72 × 2,960.56
  4. Step 4: Simplify right side
    12,194.56x = 54,153,734.56
  5. Step 5: Solve for x
    x = 54,153,734.56/12,194.56
  6. Step 6: Final answer
    x = 4,440.81

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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.