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Finding the Fourth Proportional to 27,937.40, 41,906 and 11,297.24

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Solution

The fourth proportional to 27,937.40, 41,906 and 11,297.24 is: 16,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.40 : 41,906 = 11,297.24 : x
  2. Step 2: Convert to fraction form
    27,937.40/41,906 = 11,297.24/x
  3. Step 3: Cross multiply
    27,937.40x = 41,906 × 11,297.24
  4. Step 4: Simplify right side
    27,937.40x = 473,422,139.44
  5. Step 5: Solve for x
    x = 473,422,139.44/27,937.40
  6. Step 6: Final answer
    x = 16,945.82

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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.