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Finding the Fourth Proportional to 12,449.38, 17,174.70 and 8,194.96

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Solution

The fourth proportional to 12,449.38, 17,174.70 and 8,194.96 is: 11,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.38 : 17,174.70 = 8,194.96 : x
  2. Step 2: Convert to fraction form
    12,449.38/17,174.70 = 8,194.96/x
  3. Step 3: Cross multiply
    12,449.38x = 17,174.70 × 8,194.96
  4. Step 4: Simplify right side
    12,449.38x = 140,745,979.51
  5. Step 5: Solve for x
    x = 140,745,979.51/12,449.38
  6. Step 6: Final answer
    x = 11,305.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.