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Finding the Fourth Proportional to 12,201.40, 18,295.96 and 5,961.88

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Solution

The fourth proportional to 12,201.40, 18,295.96 and 5,961.88 is: 8,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.40 : 18,295.96 = 5,961.88 : x
  2. Step 2: Convert to fraction form
    12,201.40/18,295.96 = 5,961.88/x
  3. Step 3: Cross multiply
    12,201.40x = 18,295.96 × 5,961.88
  4. Step 4: Simplify right side
    12,201.40x = 109,078,318.00
  5. Step 5: Solve for x
    x = 109,078,318.00/12,201.40
  6. Step 6: Final answer
    x = 8,939.82

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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.