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Finding the Fourth Proportional to 27,894.51, 41,842 and 8,173.39

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Solution

The fourth proportional to 27,894.51, 41,842 and 8,173.39 is: 12,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.51 : 41,842 = 8,173.39 : x
  2. Step 2: Convert to fraction form
    27,894.51/41,842 = 8,173.39/x
  3. Step 3: Cross multiply
    27,894.51x = 41,842 × 8,173.39
  4. Step 4: Simplify right side
    27,894.51x = 341,990,984.38
  5. Step 5: Solve for x
    x = 341,990,984.38/27,894.51
  6. Step 6: Final answer
    x = 12,260.15

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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.