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Finding the Fourth Proportional to 20,057.58, 30,074.76 and 6,906.42

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Solution

The fourth proportional to 20,057.58, 30,074.76 and 6,906.42 is: 10,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.58 : 30,074.76 = 6,906.42 : x
  2. Step 2: Convert to fraction form
    20,057.58/30,074.76 = 6,906.42/x
  3. Step 3: Cross multiply
    20,057.58x = 30,074.76 × 6,906.42
  4. Step 4: Simplify right side
    20,057.58x = 207,708,923.96
  5. Step 5: Solve for x
    x = 207,708,923.96/20,057.58
  6. Step 6: Final answer
    x = 10,355.63

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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.