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Finding the Fourth Proportional to 27,997.64, 41,983.82 and 8,269.32

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Solution

The fourth proportional to 27,997.64, 41,983.82 and 8,269.32 is: 12,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.64 : 41,983.82 = 8,269.32 : x
  2. Step 2: Convert to fraction form
    27,997.64/41,983.82 = 8,269.32/x
  3. Step 3: Cross multiply
    27,997.64x = 41,983.82 × 8,269.32
  4. Step 4: Simplify right side
    27,997.64x = 347,177,642.40
  5. Step 5: Solve for x
    x = 347,177,642.40/27,997.64
  6. Step 6: Final answer
    x = 12,400.25

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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.