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Finding the Fourth Proportional to 22,344.95, 30,836.34 and 12,274.29

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Solution

The fourth proportional to 22,344.95, 30,836.34 and 12,274.29 is: 16,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.95 : 30,836.34 = 12,274.29 : x
  2. Step 2: Convert to fraction form
    22,344.95/30,836.34 = 12,274.29/x
  3. Step 3: Cross multiply
    22,344.95x = 30,836.34 × 12,274.29
  4. Step 4: Simplify right side
    22,344.95x = 378,494,179.70
  5. Step 5: Solve for x
    x = 378,494,179.70/22,344.95
  6. Step 6: Final answer
    x = 16,938.69

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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.