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Finding the Fourth Proportional to 20,136.80, 30,205.50 and 6,096.97

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Solution

The fourth proportional to 20,136.80, 30,205.50 and 6,096.97 is: 9,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.80 : 30,205.50 = 6,096.97 : x
  2. Step 2: Convert to fraction form
    20,136.80/30,205.50 = 6,096.97/x
  3. Step 3: Cross multiply
    20,136.80x = 30,205.50 × 6,096.97
  4. Step 4: Simplify right side
    20,136.80x = 184,162,027.34
  5. Step 5: Solve for x
    x = 184,162,027.34/20,136.80
  6. Step 6: Final answer
    x = 9,145.55

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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.