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Finding the Fourth Proportional to 20,992.35, 29,006.33 and 16,778.19

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Solution

The fourth proportional to 20,992.35, 29,006.33 and 16,778.19 is: 23,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.35 : 29,006.33 = 16,778.19 : x
  2. Step 2: Convert to fraction form
    20,992.35/29,006.33 = 16,778.19/x
  3. Step 3: Cross multiply
    20,992.35x = 29,006.33 × 16,778.19
  4. Step 4: Simplify right side
    20,992.35x = 486,673,570.91
  5. Step 5: Solve for x
    x = 486,673,570.91/20,992.35
  6. Step 6: Final answer
    x = 23,183.38

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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.