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Finding the Fourth Proportional to 20,213.74, 30,316.56 and 7,067.44

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Solution

The fourth proportional to 20,213.74, 30,316.56 and 7,067.44 is: 10,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.74 : 30,316.56 = 7,067.44 : x
  2. Step 2: Convert to fraction form
    20,213.74/30,316.56 = 7,067.44/x
  3. Step 3: Cross multiply
    20,213.74x = 30,316.56 × 7,067.44
  4. Step 4: Simplify right side
    20,213.74x = 214,260,468.81
  5. Step 5: Solve for x
    x = 214,260,468.81/20,213.74
  6. Step 6: Final answer
    x = 10,599.74

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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.