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Finding the Fourth Proportional to 20,141.70, 30,198.15 and 9,039.30

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Solution

The fourth proportional to 20,141.70, 30,198.15 and 9,039.30 is: 13,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.70 : 30,198.15 = 9,039.30 : x
  2. Step 2: Convert to fraction form
    20,141.70/30,198.15 = 9,039.30/x
  3. Step 3: Cross multiply
    20,141.70x = 30,198.15 × 9,039.30
  4. Step 4: Simplify right side
    20,141.70x = 272,970,137.30
  5. Step 5: Solve for x
    x = 272,970,137.30/20,141.70
  6. Step 6: Final answer
    x = 13,552.49

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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.