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Finding the Fourth Proportional to 12,413.92, 18,622.20 and 4,091.52

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Solution

The fourth proportional to 12,413.92, 18,622.20 and 4,091.52 is: 6,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.92 : 18,622.20 = 4,091.52 : x
  2. Step 2: Convert to fraction form
    12,413.92/18,622.20 = 4,091.52/x
  3. Step 3: Cross multiply
    12,413.92x = 18,622.20 × 4,091.52
  4. Step 4: Simplify right side
    12,413.92x = 76,193,103.74
  5. Step 5: Solve for x
    x = 76,193,103.74/12,413.92
  6. Step 6: Final answer
    x = 6,137.72

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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.