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Finding the Fourth Proportional to 27,691.34, 38,210.57 and 15,754.88

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Solution

The fourth proportional to 27,691.34, 38,210.57 and 15,754.88 is: 21,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.34 : 38,210.57 = 15,754.88 : x
  2. Step 2: Convert to fraction form
    27,691.34/38,210.57 = 15,754.88/x
  3. Step 3: Cross multiply
    27,691.34x = 38,210.57 × 15,754.88
  4. Step 4: Simplify right side
    27,691.34x = 602,002,675.25
  5. Step 5: Solve for x
    x = 602,002,675.25/27,691.34
  6. Step 6: Final answer
    x = 21,739.75

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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.