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Finding the Fourth Proportional to 22,381.14, 33,571.17 and 9,224.40

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Solution

The fourth proportional to 22,381.14, 33,571.17 and 9,224.40 is: 13,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.14 : 33,571.17 = 9,224.40 : x
  2. Step 2: Convert to fraction form
    22,381.14/33,571.17 = 9,224.40/x
  3. Step 3: Cross multiply
    22,381.14x = 33,571.17 × 9,224.40
  4. Step 4: Simplify right side
    22,381.14x = 309,673,900.55
  5. Step 5: Solve for x
    x = 309,673,900.55/22,381.14
  6. Step 6: Final answer
    x = 13,836.38

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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.