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Finding the Fourth Proportional to 22,138.72, 33,212.93 and 6,557.56

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Solution

The fourth proportional to 22,138.72, 33,212.93 and 6,557.56 is: 9,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.72 : 33,212.93 = 6,557.56 : x
  2. Step 2: Convert to fraction form
    22,138.72/33,212.93 = 6,557.56/x
  3. Step 3: Cross multiply
    22,138.72x = 33,212.93 × 6,557.56
  4. Step 4: Simplify right side
    22,138.72x = 217,795,781.25
  5. Step 5: Solve for x
    x = 217,795,781.25/22,138.72
  6. Step 6: Final answer
    x = 9,837.78

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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.