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Finding the Fourth Proportional to 27,902.26, 41,853.74 and 8,181.21

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Solution

The fourth proportional to 27,902.26, 41,853.74 and 8,181.21 is: 12,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.26 : 41,853.74 = 8,181.21 : x
  2. Step 2: Convert to fraction form
    27,902.26/41,853.74 = 8,181.21/x
  3. Step 3: Cross multiply
    27,902.26x = 41,853.74 × 8,181.21
  4. Step 4: Simplify right side
    27,902.26x = 342,414,236.23
  5. Step 5: Solve for x
    x = 342,414,236.23/27,902.26
  6. Step 6: Final answer
    x = 12,271.92

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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.