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Finding the Fourth Proportional to 20,112.44, 30,169.04 and 6,965.24

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Solution

The fourth proportional to 20,112.44, 30,169.04 and 6,965.24 is: 10,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.44 : 30,169.04 = 6,965.24 : x
  2. Step 2: Convert to fraction form
    20,112.44/30,169.04 = 6,965.24/x
  3. Step 3: Cross multiply
    20,112.44x = 30,169.04 × 6,965.24
  4. Step 4: Simplify right side
    20,112.44x = 210,134,418.50
  5. Step 5: Solve for x
    x = 210,134,418.50/20,112.44
  6. Step 6: Final answer
    x = 10,447.98

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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.