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Finding the Fourth Proportional to 27,977.22, 41,965.74 and 8,255.94

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Solution

The fourth proportional to 27,977.22, 41,965.74 and 8,255.94 is: 12,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.22 : 41,965.74 = 8,255.94 : x
  2. Step 2: Convert to fraction form
    27,977.22/41,965.74 = 8,255.94/x
  3. Step 3: Cross multiply
    27,977.22x = 41,965.74 × 8,255.94
  4. Step 4: Simplify right side
    27,977.22x = 346,466,631.50
  5. Step 5: Solve for x
    x = 346,466,631.50/27,977.22
  6. Step 6: Final answer
    x = 12,383.88

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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.