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Finding the Fourth Proportional to 12,446.12, 17,171.97 and 7,407.81

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Solution

The fourth proportional to 12,446.12, 17,171.97 and 7,407.81 is: 10,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.12 : 17,171.97 = 7,407.81 : x
  2. Step 2: Convert to fraction form
    12,446.12/17,171.97 = 7,407.81/x
  3. Step 3: Cross multiply
    12,446.12x = 17,171.97 × 7,407.81
  4. Step 4: Simplify right side
    12,446.12x = 127,206,691.09
  5. Step 5: Solve for x
    x = 127,206,691.09/12,446.12
  6. Step 6: Final answer
    x = 10,220.59

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