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Finding the Fourth Proportional to 28,144.68, 38,838.38 and 16,205.54

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Solution

The fourth proportional to 28,144.68, 38,838.38 and 16,205.54 is: 22,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,144.68 : 38,838.38 = 16,205.54 : x
  2. Step 2: Convert to fraction form
    28,144.68/38,838.38 = 16,205.54/x
  3. Step 3: Cross multiply
    28,144.68x = 38,838.38 × 16,205.54
  4. Step 4: Simplify right side
    28,144.68x = 629,396,920.63
  5. Step 5: Solve for x
    x = 629,396,920.63/28,144.68
  6. Step 6: Final answer
    x = 22,362.91

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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.