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Finding the Fourth Proportional to 22,234.22, 33,350.41 and 7,442

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Solution

The fourth proportional to 22,234.22, 33,350.41 and 7,442 is: 11,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.22 : 33,350.41 = 7,442 : x
  2. Step 2: Convert to fraction form
    22,234.22/33,350.41 = 7,442/x
  3. Step 3: Cross multiply
    22,234.22x = 33,350.41 × 7,442
  4. Step 4: Simplify right side
    22,234.22x = 248,193,751.22
  5. Step 5: Solve for x
    x = 248,193,751.22/22,234.22
  6. Step 6: Final answer
    x = 11,162.69

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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.