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Finding the Fourth Proportional to 26,832, 37,029.78 and 16,224.24

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Solution

The fourth proportional to 26,832, 37,029.78 and 16,224.24 is: 22,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,832 : 37,029.78 = 16,224.24 : x
  2. Step 2: Convert to fraction form
    26,832/37,029.78 = 16,224.24/x
  3. Step 3: Cross multiply
    26,832x = 37,029.78 × 16,224.24
  4. Step 4: Simplify right side
    26,832x = 600,780,037.87
  5. Step 5: Solve for x
    x = 600,780,037.87/26,832
  6. Step 6: Final answer
    x = 22,390.43

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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.