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Finding the Fourth Proportional to 20,136.26, 30,185.76 and 7,652.54

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Solution

The fourth proportional to 20,136.26, 30,185.76 and 7,652.54 is: 11,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.26 : 30,185.76 = 7,652.54 : x
  2. Step 2: Convert to fraction form
    20,136.26/30,185.76 = 7,652.54/x
  3. Step 3: Cross multiply
    20,136.26x = 30,185.76 × 7,652.54
  4. Step 4: Simplify right side
    20,136.26x = 230,997,735.83
  5. Step 5: Solve for x
    x = 230,997,735.83/20,136.26
  6. Step 6: Final answer
    x = 11,471.73

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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.