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Finding the Fourth Proportional to 22,000.50, 33,006.21 and 6,418.14

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Solution

The fourth proportional to 22,000.50, 33,006.21 and 6,418.14 is: 9,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.50 : 33,006.21 = 6,418.14 : x
  2. Step 2: Convert to fraction form
    22,000.50/33,006.21 = 6,418.14/x
  3. Step 3: Cross multiply
    22,000.50x = 33,006.21 × 6,418.14
  4. Step 4: Simplify right side
    22,000.50x = 211,838,476.65
  5. Step 5: Solve for x
    x = 211,838,476.65/22,000.50
  6. Step 6: Final answer
    x = 9,628.80

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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.