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Finding the Fourth Proportional to 20,737.26, 31,099.51 and 5,942.21

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Solution

The fourth proportional to 20,737.26, 31,099.51 and 5,942.21 is: 8,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.26 : 31,099.51 = 5,942.21 : x
  2. Step 2: Convert to fraction form
    20,737.26/31,099.51 = 5,942.21/x
  3. Step 3: Cross multiply
    20,737.26x = 31,099.51 × 5,942.21
  4. Step 4: Simplify right side
    20,737.26x = 184,799,819.32
  5. Step 5: Solve for x
    x = 184,799,819.32/20,737.26
  6. Step 6: Final answer
    x = 8,911.49

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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.