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Finding the Fourth Proportional to 27,672, 41,514.48 and 9,204

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Solution

The fourth proportional to 27,672, 41,514.48 and 9,204 is: 13,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672 : 41,514.48 = 9,204 : x
  2. Step 2: Convert to fraction form
    27,672/41,514.48 = 9,204/x
  3. Step 3: Cross multiply
    27,672x = 41,514.48 × 9,204
  4. Step 4: Simplify right side
    27,672x = 382,099,273.92
  5. Step 5: Solve for x
    x = 382,099,273.92/27,672
  6. Step 6: Final answer
    x = 13,808.16

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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.