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Finding the Fourth Proportional to 24,413.97, 36,626.49 and 8,831.61

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Solution

The fourth proportional to 24,413.97, 36,626.49 and 8,831.61 is: 13,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.97 : 36,626.49 = 8,831.61 : x
  2. Step 2: Convert to fraction form
    24,413.97/36,626.49 = 8,831.61/x
  3. Step 3: Cross multiply
    24,413.97x = 36,626.49 × 8,831.61
  4. Step 4: Simplify right side
    24,413.97x = 323,470,875.35
  5. Step 5: Solve for x
    x = 323,470,875.35/24,413.97
  6. Step 6: Final answer
    x = 13,249.42

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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.