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Finding the Fourth Proportional to 22,169.78, 33,235.94 and 10,317.44

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Solution

The fourth proportional to 22,169.78, 33,235.94 and 10,317.44 is: 15,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,169.78 : 33,235.94 = 10,317.44 : x
  2. Step 2: Convert to fraction form
    22,169.78/33,235.94 = 10,317.44/x
  3. Step 3: Cross multiply
    22,169.78x = 33,235.94 × 10,317.44
  4. Step 4: Simplify right side
    22,169.78x = 342,909,759.50
  5. Step 5: Solve for x
    x = 342,909,759.50/22,169.78
  6. Step 6: Final answer
    x = 15,467.44

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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.