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Finding the Fourth Proportional to 12,413.46, 18,622.80 and 3,647.64

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Solution

The fourth proportional to 12,413.46, 18,622.80 and 3,647.64 is: 5,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.46 : 18,622.80 = 3,647.64 : x
  2. Step 2: Convert to fraction form
    12,413.46/18,622.80 = 3,647.64/x
  3. Step 3: Cross multiply
    12,413.46x = 18,622.80 × 3,647.64
  4. Step 4: Simplify right side
    12,413.46x = 67,929,270.19
  5. Step 5: Solve for x
    x = 67,929,270.19/12,413.46
  6. Step 6: Final answer
    x = 5,472.23

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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.