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Finding the Fourth Proportional to 27,904.70, 41,856.50 and 8,182.82

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Solution

The fourth proportional to 27,904.70, 41,856.50 and 8,182.82 is: 12,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.70 : 41,856.50 = 8,182.82 : x
  2. Step 2: Convert to fraction form
    27,904.70/41,856.50 = 8,182.82/x
  3. Step 3: Cross multiply
    27,904.70x = 41,856.50 × 8,182.82
  4. Step 4: Simplify right side
    27,904.70x = 342,504,205.33
  5. Step 5: Solve for x
    x = 342,504,205.33/27,904.70
  6. Step 6: Final answer
    x = 12,274.07

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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.