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Finding the Fourth Proportional to 22,189.98, 33,285 and 12,949.50

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Solution

The fourth proportional to 22,189.98, 33,285 and 12,949.50 is: 19,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.98 : 33,285 = 12,949.50 : x
  2. Step 2: Convert to fraction form
    22,189.98/33,285 = 12,949.50/x
  3. Step 3: Cross multiply
    22,189.98x = 33,285 × 12,949.50
  4. Step 4: Simplify right side
    22,189.98x = 431,024,107.50
  5. Step 5: Solve for x
    x = 431,024,107.50/22,189.98
  6. Step 6: Final answer
    x = 19,424.27

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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.