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Finding the Fourth Proportional to 22,262.65, 33,363.86 and 9,107.84

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Solution

The fourth proportional to 22,262.65, 33,363.86 and 9,107.84 is: 13,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.65 : 33,363.86 = 9,107.84 : x
  2. Step 2: Convert to fraction form
    22,262.65/33,363.86 = 9,107.84/x
  3. Step 3: Cross multiply
    22,262.65x = 33,363.86 × 9,107.84
  4. Step 4: Simplify right side
    22,262.65x = 303,872,736.53
  5. Step 5: Solve for x
    x = 303,872,736.53/22,262.65
  6. Step 6: Final answer
    x = 13,649.44

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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.