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Finding the Fourth Proportional to 27,819.52, 41,724.96 and 8,094

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Solution

The fourth proportional to 27,819.52, 41,724.96 and 8,094 is: 12,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.52 : 41,724.96 = 8,094 : x
  2. Step 2: Convert to fraction form
    27,819.52/41,724.96 = 8,094/x
  3. Step 3: Cross multiply
    27,819.52x = 41,724.96 × 8,094
  4. Step 4: Simplify right side
    27,819.52x = 337,721,826.24
  5. Step 5: Solve for x
    x = 337,721,826.24/27,819.52
  6. Step 6: Final answer
    x = 12,139.74

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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.