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Finding the Fourth Proportional to 17,279.80, 25,913.22 and 7,414

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Solution

The fourth proportional to 17,279.80, 25,913.22 and 7,414 is: 11,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,279.80 : 25,913.22 = 7,414 : x
  2. Step 2: Convert to fraction form
    17,279.80/25,913.22 = 7,414/x
  3. Step 3: Cross multiply
    17,279.80x = 25,913.22 × 7,414
  4. Step 4: Simplify right side
    17,279.80x = 192,120,613.08
  5. Step 5: Solve for x
    x = 192,120,613.08/17,279.80
  6. Step 6: Final answer
    x = 11,118.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.