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Finding the Fourth Proportional to 28,238.50, 38,965.85 and 16,906.42

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Solution

The fourth proportional to 28,238.50, 38,965.85 and 16,906.42 is: 23,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238.50 : 38,965.85 = 16,906.42 : x
  2. Step 2: Convert to fraction form
    28,238.50/38,965.85 = 16,906.42/x
  3. Step 3: Cross multiply
    28,238.50x = 38,965.85 × 16,906.42
  4. Step 4: Simplify right side
    28,238.50x = 658,773,029.56
  5. Step 5: Solve for x
    x = 658,773,029.56/28,238.50
  6. Step 6: Final answer
    x = 23,328.90

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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.