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Finding the Fourth Proportional to 24,942.87, 37,413.39 and 7,412.24

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Solution

The fourth proportional to 24,942.87, 37,413.39 and 7,412.24 is: 11,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.87 : 37,413.39 = 7,412.24 : x
  2. Step 2: Convert to fraction form
    24,942.87/37,413.39 = 7,412.24/x
  3. Step 3: Cross multiply
    24,942.87x = 37,413.39 × 7,412.24
  4. Step 4: Simplify right side
    24,942.87x = 277,316,838.83
  5. Step 5: Solve for x
    x = 277,316,838.83/24,942.87
  6. Step 6: Final answer
    x = 11,118.08

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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.