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Finding the Fourth Proportional to 27,894.86, 41,842.63 and 8,173.82

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Solution

The fourth proportional to 27,894.86, 41,842.63 and 8,173.82 is: 12,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.86 : 41,842.63 = 8,173.82 : x
  2. Step 2: Convert to fraction form
    27,894.86/41,842.63 = 8,173.82/x
  3. Step 3: Cross multiply
    27,894.86x = 41,842.63 × 8,173.82
  4. Step 4: Simplify right side
    27,894.86x = 342,014,041.77
  5. Step 5: Solve for x
    x = 342,014,041.77/27,894.86
  6. Step 6: Final answer
    x = 12,260.83

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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.