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Finding the Fourth Proportional to 26,556.42, 39,834.99 and 6,834.54

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Solution

The fourth proportional to 26,556.42, 39,834.99 and 6,834.54 is: 10,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,556.42 : 39,834.99 = 6,834.54 : x
  2. Step 2: Convert to fraction form
    26,556.42/39,834.99 = 6,834.54/x
  3. Step 3: Cross multiply
    26,556.42x = 39,834.99 × 6,834.54
  4. Step 4: Simplify right side
    26,556.42x = 272,253,832.55
  5. Step 5: Solve for x
    x = 272,253,832.55/26,556.42
  6. Step 6: Final answer
    x = 10,251.90

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