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Finding the Fourth Proportional to 27,694.17, 38,209.64 and 16,364.70

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Solution

The fourth proportional to 27,694.17, 38,209.64 and 16,364.70 is: 22,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694.17 : 38,209.64 = 16,364.70 : x
  2. Step 2: Convert to fraction form
    27,694.17/38,209.64 = 16,364.70/x
  3. Step 3: Cross multiply
    27,694.17x = 38,209.64 × 16,364.70
  4. Step 4: Simplify right side
    27,694.17x = 625,289,213.88
  5. Step 5: Solve for x
    x = 625,289,213.88/27,694.17
  6. Step 6: Final answer
    x = 22,578.37

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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.