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Finding the Fourth Proportional to 27,634.25, 38,134.04 and 15,697.41

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Solution

The fourth proportional to 27,634.25, 38,134.04 and 15,697.41 is: 21,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.25 : 38,134.04 = 15,697.41 : x
  2. Step 2: Convert to fraction form
    27,634.25/38,134.04 = 15,697.41/x
  3. Step 3: Cross multiply
    27,634.25x = 38,134.04 × 15,697.41
  4. Step 4: Simplify right side
    27,634.25x = 598,605,582.35
  5. Step 5: Solve for x
    x = 598,605,582.35/27,634.25
  6. Step 6: Final answer
    x = 21,661.73

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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.