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Finding the Fourth Proportional to 27,904.59, 41,863.05 and 9,183.87

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Solution

The fourth proportional to 27,904.59, 41,863.05 and 9,183.87 is: 13,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.59 : 41,863.05 = 9,183.87 : x
  2. Step 2: Convert to fraction form
    27,904.59/41,863.05 = 9,183.87/x
  3. Step 3: Cross multiply
    27,904.59x = 41,863.05 × 9,183.87
  4. Step 4: Simplify right side
    27,904.59x = 384,464,809.00
  5. Step 5: Solve for x
    x = 384,464,809.00/27,904.59
  6. Step 6: Final answer
    x = 13,777.83

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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.