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Finding the Fourth Proportional to 22,532.86, 33,789.62 and 7,743.26

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Solution

The fourth proportional to 22,532.86, 33,789.62 and 7,743.26 is: 11,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.86 : 33,789.62 = 7,743.26 : x
  2. Step 2: Convert to fraction form
    22,532.86/33,789.62 = 7,743.26/x
  3. Step 3: Cross multiply
    22,532.86x = 33,789.62 × 7,743.26
  4. Step 4: Simplify right side
    22,532.86x = 261,641,812.96
  5. Step 5: Solve for x
    x = 261,641,812.96/22,532.86
  6. Step 6: Final answer
    x = 11,611.57

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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.