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Finding the Fourth Proportional to 17,383.73, 23,976.80 and 11,413.22

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Solution

The fourth proportional to 17,383.73, 23,976.80 and 11,413.22 is: 15,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.73 : 23,976.80 = 11,413.22 : x
  2. Step 2: Convert to fraction form
    17,383.73/23,976.80 = 11,413.22/x
  3. Step 3: Cross multiply
    17,383.73x = 23,976.80 × 11,413.22
  4. Step 4: Simplify right side
    17,383.73x = 273,652,493.30
  5. Step 5: Solve for x
    x = 273,652,493.30/17,383.73
  6. Step 6: Final answer
    x = 15,741.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.