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Finding the Fourth Proportional to 22,195.69, 33,285.74 and 6,396.50

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Solution

The fourth proportional to 22,195.69, 33,285.74 and 6,396.50 is: 9,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,195.69 : 33,285.74 = 6,396.50 : x
  2. Step 2: Convert to fraction form
    22,195.69/33,285.74 = 6,396.50/x
  3. Step 3: Cross multiply
    22,195.69x = 33,285.74 × 6,396.50
  4. Step 4: Simplify right side
    22,195.69x = 212,912,069.48
  5. Step 5: Solve for x
    x = 212,912,069.48/22,195.69
  6. Step 6: Final answer
    x = 9,592.50

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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.