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Finding the Fourth Proportional to 27,676.84, 38,192.97 and 15,101.59

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Solution

The fourth proportional to 27,676.84, 38,192.97 and 15,101.59 is: 20,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.84 : 38,192.97 = 15,101.59 : x
  2. Step 2: Convert to fraction form
    27,676.84/38,192.97 = 15,101.59/x
  3. Step 3: Cross multiply
    27,676.84x = 38,192.97 × 15,101.59
  4. Step 4: Simplify right side
    27,676.84x = 576,774,573.82
  5. Step 5: Solve for x
    x = 576,774,573.82/27,676.84
  6. Step 6: Final answer
    x = 20,839.61

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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.