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Finding the Fourth Proportional to 16,276, 24,413.94 and 4,589.20

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Solution

The fourth proportional to 16,276, 24,413.94 and 4,589.20 is: 6,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276 : 24,413.94 = 4,589.20 : x
  2. Step 2: Convert to fraction form
    16,276/24,413.94 = 4,589.20/x
  3. Step 3: Cross multiply
    16,276x = 24,413.94 × 4,589.20
  4. Step 4: Simplify right side
    16,276x = 112,040,453.45
  5. Step 5: Solve for x
    x = 112,040,453.45/16,276
  6. Step 6: Final answer
    x = 6,883.78

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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.