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Finding the Fourth Proportional to 20,201.75, 30,302.94 and 6,350.75

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Solution

The fourth proportional to 20,201.75, 30,302.94 and 6,350.75 is: 9,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.75 : 30,302.94 = 6,350.75 : x
  2. Step 2: Convert to fraction form
    20,201.75/30,302.94 = 6,350.75/x
  3. Step 3: Cross multiply
    20,201.75x = 30,302.94 × 6,350.75
  4. Step 4: Simplify right side
    20,201.75x = 192,446,396.21
  5. Step 5: Solve for x
    x = 192,446,396.21/20,201.75
  6. Step 6: Final answer
    x = 9,526.22

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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.