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Finding the Fourth Proportional to 23,462.68, 35,194.12 and 6,822.78

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Solution

The fourth proportional to 23,462.68, 35,194.12 and 6,822.78 is: 10,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.68 : 35,194.12 = 6,822.78 : x
  2. Step 2: Convert to fraction form
    23,462.68/35,194.12 = 6,822.78/x
  3. Step 3: Cross multiply
    23,462.68x = 35,194.12 × 6,822.78
  4. Step 4: Simplify right side
    23,462.68x = 240,121,738.05
  5. Step 5: Solve for x
    x = 240,121,738.05/23,462.68
  6. Step 6: Final answer
    x = 10,234.20

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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.