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Finding the Fourth Proportional to 27,758.70, 38,306.22 and 15,182.64

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Solution

The fourth proportional to 27,758.70, 38,306.22 and 15,182.64 is: 20,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.70 : 38,306.22 = 15,182.64 : x
  2. Step 2: Convert to fraction form
    27,758.70/38,306.22 = 15,182.64/x
  3. Step 3: Cross multiply
    27,758.70x = 38,306.22 × 15,182.64
  4. Step 4: Simplify right side
    27,758.70x = 581,589,548.02
  5. Step 5: Solve for x
    x = 581,589,548.02/27,758.70
  6. Step 6: Final answer
    x = 20,951.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.