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Finding the Fourth Proportional to 20,175.56, 30,229.74 and 7,020.68

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Solution

The fourth proportional to 20,175.56, 30,229.74 and 7,020.68 is: 10,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.56 : 30,229.74 = 7,020.68 : x
  2. Step 2: Convert to fraction form
    20,175.56/30,229.74 = 7,020.68/x
  3. Step 3: Cross multiply
    20,175.56x = 30,229.74 × 7,020.68
  4. Step 4: Simplify right side
    20,175.56x = 212,233,331.02
  5. Step 5: Solve for x
    x = 212,233,331.02/20,175.56
  6. Step 6: Final answer
    x = 10,519.33

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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.