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Finding the Fourth Proportional to 20,759.65, 31,136.11 and 5,965.21

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Solution

The fourth proportional to 20,759.65, 31,136.11 and 5,965.21 is: 8,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,759.65 : 31,136.11 = 5,965.21 : x
  2. Step 2: Convert to fraction form
    20,759.65/31,136.11 = 5,965.21/x
  3. Step 3: Cross multiply
    20,759.65x = 31,136.11 × 5,965.21
  4. Step 4: Simplify right side
    20,759.65x = 185,733,434.73
  5. Step 5: Solve for x
    x = 185,733,434.73/20,759.65
  6. Step 6: Final answer
    x = 8,946.85

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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.