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Finding the Fourth Proportional to 22,524.23, 33,737.13 and 11,411.84

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Solution

The fourth proportional to 22,524.23, 33,737.13 and 11,411.84 is: 17,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.23 : 33,737.13 = 11,411.84 : x
  2. Step 2: Convert to fraction form
    22,524.23/33,737.13 = 11,411.84/x
  3. Step 3: Cross multiply
    22,524.23x = 33,737.13 × 11,411.84
  4. Step 4: Simplify right side
    22,524.23x = 385,002,813.96
  5. Step 5: Solve for x
    x = 385,002,813.96/22,524.23
  6. Step 6: Final answer
    x = 17,092.83

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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.