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Finding the Fourth Proportional to 22,596.75, 33,902.28 and 10,127.48

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Solution

The fourth proportional to 22,596.75, 33,902.28 and 10,127.48 is: 15,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.75 : 33,902.28 = 10,127.48 : x
  2. Step 2: Convert to fraction form
    22,596.75/33,902.28 = 10,127.48/x
  3. Step 3: Cross multiply
    22,596.75x = 33,902.28 × 10,127.48
  4. Step 4: Simplify right side
    22,596.75x = 343,344,493.14
  5. Step 5: Solve for x
    x = 343,344,493.14/22,596.75
  6. Step 6: Final answer
    x = 15,194.42

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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.