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Finding the Fourth Proportional to 16,611, 24,916.50 and 5,667

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Solution

The fourth proportional to 16,611, 24,916.50 and 5,667 is: 8,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,611 : 24,916.50 = 5,667 : x
  2. Step 2: Convert to fraction form
    16,611/24,916.50 = 5,667/x
  3. Step 3: Cross multiply
    16,611x = 24,916.50 × 5,667
  4. Step 4: Simplify right side
    16,611x = 141,201,805.50
  5. Step 5: Solve for x
    x = 141,201,805.50/16,611
  6. Step 6: Final answer
    x = 8,500.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.