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Finding the Fourth Proportional to 22,774.51, 34,163.39 and 7,192

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Solution

The fourth proportional to 22,774.51, 34,163.39 and 7,192 is: 10,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.51 : 34,163.39 = 7,192 : x
  2. Step 2: Convert to fraction form
    22,774.51/34,163.39 = 7,192/x
  3. Step 3: Cross multiply
    22,774.51x = 34,163.39 × 7,192
  4. Step 4: Simplify right side
    22,774.51x = 245,703,100.88
  5. Step 5: Solve for x
    x = 245,703,100.88/22,774.51
  6. Step 6: Final answer
    x = 10,788.51

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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.