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Finding the Fourth Proportional to 22,381.28, 33,574.11 and 8,153.62

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Solution

The fourth proportional to 22,381.28, 33,574.11 and 8,153.62 is: 12,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.28 : 33,574.11 = 8,153.62 : x
  2. Step 2: Convert to fraction form
    22,381.28/33,574.11 = 8,153.62/x
  3. Step 3: Cross multiply
    22,381.28x = 33,574.11 × 8,153.62
  4. Step 4: Simplify right side
    22,381.28x = 273,750,494.01
  5. Step 5: Solve for x
    x = 273,750,494.01/22,381.28
  6. Step 6: Final answer
    x = 12,231.23

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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.