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Finding the Fourth Proportional to 27,999.27, 41,998.77 and 8,277.93

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Solution

The fourth proportional to 27,999.27, 41,998.77 and 8,277.93 is: 12,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999.27 : 41,998.77 = 8,277.93 : x
  2. Step 2: Convert to fraction form
    27,999.27/41,998.77 = 8,277.93/x
  3. Step 3: Cross multiply
    27,999.27x = 41,998.77 × 8,277.93
  4. Step 4: Simplify right side
    27,999.27x = 347,662,878.15
  5. Step 5: Solve for x
    x = 347,662,878.15/27,999.27
  6. Step 6: Final answer
    x = 12,416.86

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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.