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Finding the Fourth Proportional to 15,178.62, 22,770.36 and 6,413.61

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Solution

The fourth proportional to 15,178.62, 22,770.36 and 6,413.61 is: 9,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.62 : 22,770.36 = 6,413.61 : x
  2. Step 2: Convert to fraction form
    15,178.62/22,770.36 = 6,413.61/x
  3. Step 3: Cross multiply
    15,178.62x = 22,770.36 × 6,413.61
  4. Step 4: Simplify right side
    15,178.62x = 146,040,208.60
  5. Step 5: Solve for x
    x = 146,040,208.60/15,178.62
  6. Step 6: Final answer
    x = 9,621.44

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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.