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Finding the Fourth Proportional to 27,680.44, 38,199 and 15,105.20

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Solution

The fourth proportional to 27,680.44, 38,199 and 15,105.20 is: 20,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.44 : 38,199 = 15,105.20 : x
  2. Step 2: Convert to fraction form
    27,680.44/38,199 = 15,105.20/x
  3. Step 3: Cross multiply
    27,680.44x = 38,199 × 15,105.20
  4. Step 4: Simplify right side
    27,680.44x = 577,003,534.80
  5. Step 5: Solve for x
    x = 577,003,534.80/27,680.44
  6. Step 6: Final answer
    x = 20,845.17

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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.