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Finding the Fourth Proportional to 22,597.62, 33,911.97 and 7,806.56

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Solution

The fourth proportional to 22,597.62, 33,911.97 and 7,806.56 is: 11,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.62 : 33,911.97 = 7,806.56 : x
  2. Step 2: Convert to fraction form
    22,597.62/33,911.97 = 7,806.56/x
  3. Step 3: Cross multiply
    22,597.62x = 33,911.97 × 7,806.56
  4. Step 4: Simplify right side
    22,597.62x = 264,735,820.44
  5. Step 5: Solve for x
    x = 264,735,820.44/22,597.62
  6. Step 6: Final answer
    x = 11,715.21

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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.