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Finding the Fourth Proportional to 27,904.06, 41,856.42 and 8,183.01

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Solution

The fourth proportional to 27,904.06, 41,856.42 and 8,183.01 is: 12,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.06 : 41,856.42 = 8,183.01 : x
  2. Step 2: Convert to fraction form
    27,904.06/41,856.42 = 8,183.01/x
  3. Step 3: Cross multiply
    27,904.06x = 41,856.42 × 8,183.01
  4. Step 4: Simplify right side
    27,904.06x = 342,511,691.07
  5. Step 5: Solve for x
    x = 342,511,691.07/27,904.06
  6. Step 6: Final answer
    x = 12,274.62

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Why These Related Problems?

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