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Finding the Fourth Proportional to 27,894.68, 41,842.02 and 8,173.24

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Solution

The fourth proportional to 27,894.68, 41,842.02 and 8,173.24 is: 12,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.68 : 41,842.02 = 8,173.24 : x
  2. Step 2: Convert to fraction form
    27,894.68/41,842.02 = 8,173.24/x
  3. Step 3: Cross multiply
    27,894.68x = 41,842.02 × 8,173.24
  4. Step 4: Simplify right side
    27,894.68x = 341,984,871.54
  5. Step 5: Solve for x
    x = 341,984,871.54/27,894.68
  6. Step 6: Final answer
    x = 12,259.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.