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Finding the Fourth Proportional to 14,640.44, 20,198.70 and 10,163

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Solution

The fourth proportional to 14,640.44, 20,198.70 and 10,163 is: 14,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.44 : 20,198.70 = 10,163 : x
  2. Step 2: Convert to fraction form
    14,640.44/20,198.70 = 10,163/x
  3. Step 3: Cross multiply
    14,640.44x = 20,198.70 × 10,163
  4. Step 4: Simplify right side
    14,640.44x = 205,279,388.10
  5. Step 5: Solve for x
    x = 205,279,388.10/14,640.44
  6. Step 6: Final answer
    x = 14,021.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.