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Finding the Fourth Proportional to 27,893, 41,843.42 and 8,173

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Solution

The fourth proportional to 27,893, 41,843.42 and 8,173 is: 12,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893 : 41,843.42 = 8,173 : x
  2. Step 2: Convert to fraction form
    27,893/41,843.42 = 8,173/x
  3. Step 3: Cross multiply
    27,893x = 41,843.42 × 8,173
  4. Step 4: Simplify right side
    27,893x = 341,986,271.66
  5. Step 5: Solve for x
    x = 341,986,271.66/27,893
  6. Step 6: Final answer
    x = 12,260.65

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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.