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Finding the Fourth Proportional to 15,198, 22,793.49 and 5,834.94

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Solution

The fourth proportional to 15,198, 22,793.49 and 5,834.94 is: 8,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198 : 22,793.49 = 5,834.94 : x
  2. Step 2: Convert to fraction form
    15,198/22,793.49 = 5,834.94/x
  3. Step 3: Cross multiply
    15,198x = 22,793.49 × 5,834.94
  4. Step 4: Simplify right side
    15,198x = 132,998,646.54
  5. Step 5: Solve for x
    x = 132,998,646.54/15,198
  6. Step 6: Final answer
    x = 8,751.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.