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Finding the Fourth Proportional to 27,324.27, 40,978.31 and 11,738.25

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Solution

The fourth proportional to 27,324.27, 40,978.31 and 11,738.25 is: 17,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324.27 : 40,978.31 = 11,738.25 : x
  2. Step 2: Convert to fraction form
    27,324.27/40,978.31 = 11,738.25/x
  3. Step 3: Cross multiply
    27,324.27x = 40,978.31 × 11,738.25
  4. Step 4: Simplify right side
    27,324.27x = 481,013,588.67
  5. Step 5: Solve for x
    x = 481,013,588.67/27,324.27
  6. Step 6: Final answer
    x = 17,603.90

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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.