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Finding the Fourth Proportional to 27,676, 41,514.36 and 9,208

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Solution

The fourth proportional to 27,676, 41,514.36 and 9,208 is: 13,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676 : 41,514.36 = 9,208 : x
  2. Step 2: Convert to fraction form
    27,676/41,514.36 = 9,208/x
  3. Step 3: Cross multiply
    27,676x = 41,514.36 × 9,208
  4. Step 4: Simplify right side
    27,676x = 382,264,226.88
  5. Step 5: Solve for x
    x = 382,264,226.88/27,676
  6. Step 6: Final answer
    x = 13,812.12

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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.