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Finding the Fourth Proportional to 20,512.24, 30,767.04 and 5,723.24

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Solution

The fourth proportional to 20,512.24, 30,767.04 and 5,723.24 is: 8,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.24 : 30,767.04 = 5,723.24 : x
  2. Step 2: Convert to fraction form
    20,512.24/30,767.04 = 5,723.24/x
  3. Step 3: Cross multiply
    20,512.24x = 30,767.04 × 5,723.24
  4. Step 4: Simplify right side
    20,512.24x = 176,087,154.01
  5. Step 5: Solve for x
    x = 176,087,154.01/20,512.24
  6. Step 6: Final answer
    x = 8,584.49

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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.