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Finding the Fourth Proportional to 27,744.20, 41,616.30 and 8,023.40

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Solution

The fourth proportional to 27,744.20, 41,616.30 and 8,023.40 is: 12,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.20 : 41,616.30 = 8,023.40 : x
  2. Step 2: Convert to fraction form
    27,744.20/41,616.30 = 8,023.40/x
  3. Step 3: Cross multiply
    27,744.20x = 41,616.30 × 8,023.40
  4. Step 4: Simplify right side
    27,744.20x = 333,904,221.42
  5. Step 5: Solve for x
    x = 333,904,221.42/27,744.20
  6. Step 6: Final answer
    x = 12,035.10

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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.