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Finding the Fourth Proportional to 12,177.46, 18,266.88 and 3,413.06

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Solution

The fourth proportional to 12,177.46, 18,266.88 and 3,413.06 is: 5,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.46 : 18,266.88 = 3,413.06 : x
  2. Step 2: Convert to fraction form
    12,177.46/18,266.88 = 3,413.06/x
  3. Step 3: Cross multiply
    12,177.46x = 18,266.88 × 3,413.06
  4. Step 4: Simplify right side
    12,177.46x = 62,345,957.45
  5. Step 5: Solve for x
    x = 62,345,957.45/12,177.46
  6. Step 6: Final answer
    x = 5,119.78

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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.