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Finding the Fourth Proportional to 22,552.27, 33,802.25 and 8,503.31

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Solution

The fourth proportional to 22,552.27, 33,802.25 and 8,503.31 is: 12,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.27 : 33,802.25 = 8,503.31 : x
  2. Step 2: Convert to fraction form
    22,552.27/33,802.25 = 8,503.31/x
  3. Step 3: Cross multiply
    22,552.27x = 33,802.25 × 8,503.31
  4. Step 4: Simplify right side
    22,552.27x = 287,431,052.44
  5. Step 5: Solve for x
    x = 287,431,052.44/22,552.27
  6. Step 6: Final answer
    x = 12,745.11

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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.