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Finding the Fourth Proportional to 22,348.14, 30,839.07 and 12,274.62

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Solution

The fourth proportional to 22,348.14, 30,839.07 and 12,274.62 is: 16,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348.14 : 30,839.07 = 12,274.62 : x
  2. Step 2: Convert to fraction form
    22,348.14/30,839.07 = 12,274.62/x
  3. Step 3: Cross multiply
    22,348.14x = 30,839.07 × 12,274.62
  4. Step 4: Simplify right side
    22,348.14x = 378,537,865.40
  5. Step 5: Solve for x
    x = 378,537,865.40/22,348.14
  6. Step 6: Final answer
    x = 16,938.23

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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.