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Finding the Fourth Proportional to 22,567.89, 33,841.17 and 6,766.77

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Solution

The fourth proportional to 22,567.89, 33,841.17 and 6,766.77 is: 10,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.89 : 33,841.17 = 6,766.77 : x
  2. Step 2: Convert to fraction form
    22,567.89/33,841.17 = 6,766.77/x
  3. Step 3: Cross multiply
    22,567.89x = 33,841.17 × 6,766.77
  4. Step 4: Simplify right side
    22,567.89x = 228,995,413.92
  5. Step 5: Solve for x
    x = 228,995,413.92/22,567.89
  6. Step 6: Final answer
    x = 10,146.96

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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.