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Finding the Fourth Proportional to 22,747.50, 34,122.42 and 7,166.34

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Solution

The fourth proportional to 22,747.50, 34,122.42 and 7,166.34 is: 10,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.50 : 34,122.42 = 7,166.34 : x
  2. Step 2: Convert to fraction form
    22,747.50/34,122.42 = 7,166.34/x
  3. Step 3: Cross multiply
    22,747.50x = 34,122.42 × 7,166.34
  4. Step 4: Simplify right side
    22,747.50x = 244,532,863.34
  5. Step 5: Solve for x
    x = 244,532,863.34/22,747.50
  6. Step 6: Final answer
    x = 10,749.88

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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.