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Finding the Fourth Proportional to 20,640.08, 30,960.77 and 5,847.46

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Solution

The fourth proportional to 20,640.08, 30,960.77 and 5,847.46 is: 8,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.08 : 30,960.77 = 5,847.46 : x
  2. Step 2: Convert to fraction form
    20,640.08/30,960.77 = 5,847.46/x
  3. Step 3: Cross multiply
    20,640.08x = 30,960.77 × 5,847.46
  4. Step 4: Simplify right side
    20,640.08x = 181,041,757.50
  5. Step 5: Solve for x
    x = 181,041,757.50/20,640.08
  6. Step 6: Final answer
    x = 8,771.37

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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.