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Finding the Fourth Proportional to 27,789.28, 41,690.94 and 8,069.20

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Solution

The fourth proportional to 27,789.28, 41,690.94 and 8,069.20 is: 12,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.28 : 41,690.94 = 8,069.20 : x
  2. Step 2: Convert to fraction form
    27,789.28/41,690.94 = 8,069.20/x
  3. Step 3: Cross multiply
    27,789.28x = 41,690.94 × 8,069.20
  4. Step 4: Simplify right side
    27,789.28x = 336,412,533.05
  5. Step 5: Solve for x
    x = 336,412,533.05/27,789.28
  6. Step 6: Final answer
    x = 12,105.84

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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.