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Finding the Fourth Proportional to 27,785.46, 41,674.92 and 11,144.82

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Solution

The fourth proportional to 27,785.46, 41,674.92 and 11,144.82 is: 16,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.46 : 41,674.92 = 11,144.82 : x
  2. Step 2: Convert to fraction form
    27,785.46/41,674.92 = 11,144.82/x
  3. Step 3: Cross multiply
    27,785.46x = 41,674.92 × 11,144.82
  4. Step 4: Simplify right side
    27,785.46x = 464,459,481.91
  5. Step 5: Solve for x
    x = 464,459,481.91/27,785.46
  6. Step 6: Final answer
    x = 16,715.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.