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Finding the Fourth Proportional to 15,793.50, 21,799.38 and 9,821.62

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Solution

The fourth proportional to 15,793.50, 21,799.38 and 9,821.62 is: 13,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.50 : 21,799.38 = 9,821.62 : x
  2. Step 2: Convert to fraction form
    15,793.50/21,799.38 = 9,821.62/x
  3. Step 3: Cross multiply
    15,793.50x = 21,799.38 × 9,821.62
  4. Step 4: Simplify right side
    15,793.50x = 214,105,235.43
  5. Step 5: Solve for x
    x = 214,105,235.43/15,793.50
  6. Step 6: Final answer
    x = 13,556.54

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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.