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Finding the Fourth Proportional to 27,744.44, 41,618.69 and 8,023.10

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Solution

The fourth proportional to 27,744.44, 41,618.69 and 8,023.10 is: 12,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.44 : 41,618.69 = 8,023.10 : x
  2. Step 2: Convert to fraction form
    27,744.44/41,618.69 = 8,023.10/x
  3. Step 3: Cross multiply
    27,744.44x = 41,618.69 × 8,023.10
  4. Step 4: Simplify right side
    27,744.44x = 333,910,871.62
  5. Step 5: Solve for x
    x = 333,910,871.62/27,744.44
  6. Step 6: Final answer
    x = 12,035.24

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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.