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Finding the Fourth Proportional to 12,287.72, 18,413.04 and 5,706.20

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Solution

The fourth proportional to 12,287.72, 18,413.04 and 5,706.20 is: 8,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.72 : 18,413.04 = 5,706.20 : x
  2. Step 2: Convert to fraction form
    12,287.72/18,413.04 = 5,706.20/x
  3. Step 3: Cross multiply
    12,287.72x = 18,413.04 × 5,706.20
  4. Step 4: Simplify right side
    12,287.72x = 105,068,488.85
  5. Step 5: Solve for x
    x = 105,068,488.85/12,287.72
  6. Step 6: Final answer
    x = 8,550.69

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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.