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Finding the Fourth Proportional to 14,413.52, 21,659.16 and 8,183

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Solution

The fourth proportional to 14,413.52, 21,659.16 and 8,183 is: 12,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.52 : 21,659.16 = 8,183 : x
  2. Step 2: Convert to fraction form
    14,413.52/21,659.16 = 8,183/x
  3. Step 3: Cross multiply
    14,413.52x = 21,659.16 × 8,183
  4. Step 4: Simplify right side
    14,413.52x = 177,236,906.28
  5. Step 5: Solve for x
    x = 177,236,906.28/14,413.52
  6. Step 6: Final answer
    x = 12,296.57

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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.