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Finding the Fourth Proportional to 27,669, 38,183.22 and 17,733

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Solution

The fourth proportional to 27,669, 38,183.22 and 17,733 is: 24,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,669 : 38,183.22 = 17,733 : x
  2. Step 2: Convert to fraction form
    27,669/38,183.22 = 17,733/x
  3. Step 3: Cross multiply
    27,669x = 38,183.22 × 17,733
  4. Step 4: Simplify right side
    27,669x = 677,103,040.26
  5. Step 5: Solve for x
    x = 677,103,040.26/27,669
  6. Step 6: Final answer
    x = 24,471.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.