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Finding the Fourth Proportional to 23,834, 35,739.39 and 7,190.90

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Solution

The fourth proportional to 23,834, 35,739.39 and 7,190.90 is: 10,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834 : 35,739.39 = 7,190.90 : x
  2. Step 2: Convert to fraction form
    23,834/35,739.39 = 7,190.90/x
  3. Step 3: Cross multiply
    23,834x = 35,739.39 × 7,190.90
  4. Step 4: Simplify right side
    23,834x = 256,998,379.55
  5. Step 5: Solve for x
    x = 256,998,379.55/23,834
  6. Step 6: Final answer
    x = 10,782.85

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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.