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Finding the Fourth Proportional to 20,175.24, 30,266.94 and 7,028.64

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Solution

The fourth proportional to 20,175.24, 30,266.94 and 7,028.64 is: 10,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.24 : 30,266.94 = 7,028.64 : x
  2. Step 2: Convert to fraction form
    20,175.24/30,266.94 = 7,028.64/x
  3. Step 3: Cross multiply
    20,175.24x = 30,266.94 × 7,028.64
  4. Step 4: Simplify right side
    20,175.24x = 212,735,425.16
  5. Step 5: Solve for x
    x = 212,735,425.16/20,175.24
  6. Step 6: Final answer
    x = 10,544.38

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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.