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Finding the Fourth Proportional to 27,761.38, 38,310.64 and 15,186.13

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Solution

The fourth proportional to 27,761.38, 38,310.64 and 15,186.13 is: 20,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.38 : 38,310.64 = 15,186.13 : x
  2. Step 2: Convert to fraction form
    27,761.38/38,310.64 = 15,186.13/x
  3. Step 3: Cross multiply
    27,761.38x = 38,310.64 × 15,186.13
  4. Step 4: Simplify right side
    27,761.38x = 581,790,225.68
  5. Step 5: Solve for x
    x = 581,790,225.68/27,761.38
  6. Step 6: Final answer
    x = 20,956.82

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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.