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Finding the Fourth Proportional to 27,908.52, 41,847 and 9,183.50

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Solution

The fourth proportional to 27,908.52, 41,847 and 9,183.50 is: 13,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908.52 : 41,847 = 9,183.50 : x
  2. Step 2: Convert to fraction form
    27,908.52/41,847 = 9,183.50/x
  3. Step 3: Cross multiply
    27,908.52x = 41,847 × 9,183.50
  4. Step 4: Simplify right side
    27,908.52x = 384,301,715.27
  5. Step 5: Solve for x
    x = 384,301,715.27/27,908.52
  6. Step 6: Final answer
    x = 13,770.05

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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.