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Finding the Fourth Proportional to 20,611, 30,916.50 and 6,760

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Solution

The fourth proportional to 20,611, 30,916.50 and 6,760 is: 10,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,611 : 30,916.50 = 6,760 : x
  2. Step 2: Convert to fraction form
    20,611/30,916.50 = 6,760/x
  3. Step 3: Cross multiply
    20,611x = 30,916.50 × 6,760
  4. Step 4: Simplify right side
    20,611x = 208,995,540
  5. Step 5: Solve for x
    x = 208,995,540/20,611
  6. Step 6: Final answer
    x = 10,140

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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.