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Finding the Fourth Proportional to 12,273.87, 18,413.10 and 6,724.16

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Solution

The fourth proportional to 12,273.87, 18,413.10 and 6,724.16 is: 10,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.87 : 18,413.10 = 6,724.16 : x
  2. Step 2: Convert to fraction form
    12,273.87/18,413.10 = 6,724.16/x
  3. Step 3: Cross multiply
    12,273.87x = 18,413.10 × 6,724.16
  4. Step 4: Simplify right side
    12,273.87x = 123,812,538.43
  5. Step 5: Solve for x
    x = 123,812,538.43/12,273.87
  6. Step 6: Final answer
    x = 10,087.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.