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Finding the Fourth Proportional to 27,996.42, 38,638.74 and 16,057.44

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Solution

The fourth proportional to 27,996.42, 38,638.74 and 16,057.44 is: 22,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.42 : 38,638.74 = 16,057.44 : x
  2. Step 2: Convert to fraction form
    27,996.42/38,638.74 = 16,057.44/x
  3. Step 3: Cross multiply
    27,996.42x = 38,638.74 × 16,057.44
  4. Step 4: Simplify right side
    27,996.42x = 620,439,249.23
  5. Step 5: Solve for x
    x = 620,439,249.23/27,996.42
  6. Step 6: Final answer
    x = 22,161.38

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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.