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Finding the Fourth Proportional to 27,738, 38,279.25 and 15,163.56

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Solution

The fourth proportional to 27,738, 38,279.25 and 15,163.56 is: 20,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738 : 38,279.25 = 15,163.56 : x
  2. Step 2: Convert to fraction form
    27,738/38,279.25 = 15,163.56/x
  3. Step 3: Cross multiply
    27,738x = 38,279.25 × 15,163.56
  4. Step 4: Simplify right side
    27,738x = 580,449,704.13
  5. Step 5: Solve for x
    x = 580,449,704.13/27,738
  6. Step 6: Final answer
    x = 20,926.16

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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.