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Finding the Fourth Proportional to 22,269, 30,731.22 and 12,333

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Solution

The fourth proportional to 22,269, 30,731.22 and 12,333 is: 17,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269 : 30,731.22 = 12,333 : x
  2. Step 2: Convert to fraction form
    22,269/30,731.22 = 12,333/x
  3. Step 3: Cross multiply
    22,269x = 30,731.22 × 12,333
  4. Step 4: Simplify right side
    22,269x = 379,008,136.26
  5. Step 5: Solve for x
    x = 379,008,136.26/22,269
  6. Step 6: Final answer
    x = 17,019.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.