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Finding the Fourth Proportional to 26,227.67, 39,362.23 and 11,446.97

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Solution

The fourth proportional to 26,227.67, 39,362.23 and 11,446.97 is: 17,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,227.67 : 39,362.23 = 11,446.97 : x
  2. Step 2: Convert to fraction form
    26,227.67/39,362.23 = 11,446.97/x
  3. Step 3: Cross multiply
    26,227.67x = 39,362.23 × 11,446.97
  4. Step 4: Simplify right side
    26,227.67x = 450,578,040.51
  5. Step 5: Solve for x
    x = 450,578,040.51/26,227.67
  6. Step 6: Final answer
    x = 17,179.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.