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Finding the Fourth Proportional to 27,616.26, 38,110.84 and 15,041

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Solution

The fourth proportional to 27,616.26, 38,110.84 and 15,041 is: 20,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.26 : 38,110.84 = 15,041 : x
  2. Step 2: Convert to fraction form
    27,616.26/38,110.84 = 15,041/x
  3. Step 3: Cross multiply
    27,616.26x = 38,110.84 × 15,041
  4. Step 4: Simplify right side
    27,616.26x = 573,225,144.44
  5. Step 5: Solve for x
    x = 573,225,144.44/27,616.26
  6. Step 6: Final answer
    x = 20,756.80

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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.