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Finding the Fourth Proportional to 22,181.23, 33,273.47 and 6,385.62

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Solution

The fourth proportional to 22,181.23, 33,273.47 and 6,385.62 is: 9,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.23 : 33,273.47 = 6,385.62 : x
  2. Step 2: Convert to fraction form
    22,181.23/33,273.47 = 6,385.62/x
  3. Step 3: Cross multiply
    22,181.23x = 33,273.47 × 6,385.62
  4. Step 4: Simplify right side
    22,181.23x = 212,471,735.50
  5. Step 5: Solve for x
    x = 212,471,735.50/22,181.23
  6. Step 6: Final answer
    x = 9,578.90

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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.