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Finding the Fourth Proportional to 22,286, 30,754.68 and 12,350

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Solution

The fourth proportional to 22,286, 30,754.68 and 12,350 is: 17,043

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286 : 30,754.68 = 12,350 : x
  2. Step 2: Convert to fraction form
    22,286/30,754.68 = 12,350/x
  3. Step 3: Cross multiply
    22,286x = 30,754.68 × 12,350
  4. Step 4: Simplify right side
    22,286x = 379,820,298
  5. Step 5: Solve for x
    x = 379,820,298/22,286
  6. Step 6: Final answer
    x = 17,043

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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.