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Finding the Fourth Proportional to 22,164.97, 33,213.28 and 10,907.38

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Solution

The fourth proportional to 22,164.97, 33,213.28 and 10,907.38 is: 16,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.97 : 33,213.28 = 10,907.38 : x
  2. Step 2: Convert to fraction form
    22,164.97/33,213.28 = 10,907.38/x
  3. Step 3: Cross multiply
    22,164.97x = 33,213.28 × 10,907.38
  4. Step 4: Simplify right side
    22,164.97x = 362,269,866.01
  5. Step 5: Solve for x
    x = 362,269,866.01/22,164.97
  6. Step 6: Final answer
    x = 16,344.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.