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Finding the Fourth Proportional to 27,682, 41,523.36 and 9,214

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Solution

The fourth proportional to 27,682, 41,523.36 and 9,214 is: 13,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682 : 41,523.36 = 9,214 : x
  2. Step 2: Convert to fraction form
    27,682/41,523.36 = 9,214/x
  3. Step 3: Cross multiply
    27,682x = 41,523.36 × 9,214
  4. Step 4: Simplify right side
    27,682x = 382,596,239.04
  5. Step 5: Solve for x
    x = 382,596,239.04/27,682
  6. Step 6: Final answer
    x = 13,821.12

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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.