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Finding the Fourth Proportional to 22,774.82, 34,163.14 and 7,192.44

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Solution

The fourth proportional to 22,774.82, 34,163.14 and 7,192.44 is: 10,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.82 : 34,163.14 = 7,192.44 : x
  2. Step 2: Convert to fraction form
    22,774.82/34,163.14 = 7,192.44/x
  3. Step 3: Cross multiply
    22,774.82x = 34,163.14 × 7,192.44
  4. Step 4: Simplify right side
    22,774.82x = 245,716,334.66
  5. Step 5: Solve for x
    x = 245,716,334.66/22,774.82
  6. Step 6: Final answer
    x = 10,788.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.