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Finding the Fourth Proportional to 24,943.77, 37,414.94 and 7,413.93

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Solution

The fourth proportional to 24,943.77, 37,414.94 and 7,413.93 is: 11,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943.77 : 37,414.94 = 7,413.93 : x
  2. Step 2: Convert to fraction form
    24,943.77/37,414.94 = 7,413.93/x
  3. Step 3: Cross multiply
    24,943.77x = 37,414.94 × 7,413.93
  4. Step 4: Simplify right side
    24,943.77x = 277,391,709.04
  5. Step 5: Solve for x
    x = 277,391,709.04/24,943.77
  6. Step 6: Final answer
    x = 11,120.68

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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.