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Finding the Fourth Proportional to 23,204.98, 34,807.40 and 8,413.86

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Solution

The fourth proportional to 23,204.98, 34,807.40 and 8,413.86 is: 12,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.98 : 34,807.40 = 8,413.86 : x
  2. Step 2: Convert to fraction form
    23,204.98/34,807.40 = 8,413.86/x
  3. Step 3: Cross multiply
    23,204.98x = 34,807.40 × 8,413.86
  4. Step 4: Simplify right side
    23,204.98x = 292,864,590.56
  5. Step 5: Solve for x
    x = 292,864,590.56/23,204.98
  6. Step 6: Final answer
    x = 12,620.76

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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.