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Finding the Fourth Proportional to 16,122, 24,183 and 5,733.75

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Solution

The fourth proportional to 16,122, 24,183 and 5,733.75 is: 8,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122 : 24,183 = 5,733.75 : x
  2. Step 2: Convert to fraction form
    16,122/24,183 = 5,733.75/x
  3. Step 3: Cross multiply
    16,122x = 24,183 × 5,733.75
  4. Step 4: Simplify right side
    16,122x = 138,659,276.25
  5. Step 5: Solve for x
    x = 138,659,276.25/16,122
  6. Step 6: Final answer
    x = 8,600.63

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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.