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Finding the Fourth Proportional to 24,413.58, 36,621.09 and 6,883.02

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Solution

The fourth proportional to 24,413.58, 36,621.09 and 6,883.02 is: 10,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.58 : 36,621.09 = 6,883.02 : x
  2. Step 2: Convert to fraction form
    24,413.58/36,621.09 = 6,883.02/x
  3. Step 3: Cross multiply
    24,413.58x = 36,621.09 × 6,883.02
  4. Step 4: Simplify right side
    24,413.58x = 252,063,694.89
  5. Step 5: Solve for x
    x = 252,063,694.89/24,413.58
  6. Step 6: Final answer
    x = 10,324.73

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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.