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Finding the Fourth Proportional to 27,691.79, 38,209.55 and 15,754.43

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Solution

The fourth proportional to 27,691.79, 38,209.55 and 15,754.43 is: 21,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.79 : 38,209.55 = 15,754.43 : x
  2. Step 2: Convert to fraction form
    27,691.79/38,209.55 = 15,754.43/x
  3. Step 3: Cross multiply
    27,691.79x = 38,209.55 × 15,754.43
  4. Step 4: Simplify right side
    27,691.79x = 601,969,529.14
  5. Step 5: Solve for x
    x = 601,969,529.14/27,691.79
  6. Step 6: Final answer
    x = 21,738.20

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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.