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Finding the Fourth Proportional to 23,200.29, 34,818.89 and 8,413.43

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Solution

The fourth proportional to 23,200.29, 34,818.89 and 8,413.43 is: 12,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.29 : 34,818.89 = 8,413.43 : x
  2. Step 2: Convert to fraction form
    23,200.29/34,818.89 = 8,413.43/x
  3. Step 3: Cross multiply
    23,200.29x = 34,818.89 × 8,413.43
  4. Step 4: Simplify right side
    23,200.29x = 292,946,077.53
  5. Step 5: Solve for x
    x = 292,946,077.53/23,200.29
  6. Step 6: Final answer
    x = 12,626.83

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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.