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Finding the Fourth Proportional to 27,615.88, 38,108.55 and 15,677.65

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Solution

The fourth proportional to 27,615.88, 38,108.55 and 15,677.65 is: 21,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.88 : 38,108.55 = 15,677.65 : x
  2. Step 2: Convert to fraction form
    27,615.88/38,108.55 = 15,677.65/x
  3. Step 3: Cross multiply
    27,615.88x = 38,108.55 × 15,677.65
  4. Step 4: Simplify right side
    27,615.88x = 597,452,508.91
  5. Step 5: Solve for x
    x = 597,452,508.91/27,615.88
  6. Step 6: Final answer
    x = 21,634.38

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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.