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Finding the Fourth Proportional to 20,761.65, 31,136.40 and 7,433.10

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Solution

The fourth proportional to 20,761.65, 31,136.40 and 7,433.10 is: 11,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.65 : 31,136.40 = 7,433.10 : x
  2. Step 2: Convert to fraction form
    20,761.65/31,136.40 = 7,433.10/x
  3. Step 3: Cross multiply
    20,761.65x = 31,136.40 × 7,433.10
  4. Step 4: Simplify right side
    20,761.65x = 231,439,974.84
  5. Step 5: Solve for x
    x = 231,439,974.84/20,761.65
  6. Step 6: Final answer
    x = 11,147.48

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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.