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Finding the Fourth Proportional to 27,799.36, 41,701.36 and 8,077.92

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Solution

The fourth proportional to 27,799.36, 41,701.36 and 8,077.92 is: 12,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799.36 : 41,701.36 = 8,077.92 : x
  2. Step 2: Convert to fraction form
    27,799.36/41,701.36 = 8,077.92/x
  3. Step 3: Cross multiply
    27,799.36x = 41,701.36 × 8,077.92
  4. Step 4: Simplify right side
    27,799.36x = 336,860,249.97
  5. Step 5: Solve for x
    x = 336,860,249.97/27,799.36
  6. Step 6: Final answer
    x = 12,117.55

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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.