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Finding the Fourth Proportional to 21,203.20, 31,819.20 and 11,843.20

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Solution

The fourth proportional to 21,203.20, 31,819.20 and 11,843.20 is: 17,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.20 : 31,819.20 = 11,843.20 : x
  2. Step 2: Convert to fraction form
    21,203.20/31,819.20 = 11,843.20/x
  3. Step 3: Cross multiply
    21,203.20x = 31,819.20 × 11,843.20
  4. Step 4: Simplify right side
    21,203.20x = 376,841,149.44
  5. Step 5: Solve for x
    x = 376,841,149.44/21,203.20
  6. Step 6: Final answer
    x = 17,772.84

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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.