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Finding the Fourth Proportional to 13,383.45, 18,467.64 and 7,413.63

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Solution

The fourth proportional to 13,383.45, 18,467.64 and 7,413.63 is: 10,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.45 : 18,467.64 = 7,413.63 : x
  2. Step 2: Convert to fraction form
    13,383.45/18,467.64 = 7,413.63/x
  3. Step 3: Cross multiply
    13,383.45x = 18,467.64 × 7,413.63
  4. Step 4: Simplify right side
    13,383.45x = 136,912,249.93
  5. Step 5: Solve for x
    x = 136,912,249.93/13,383.45
  6. Step 6: Final answer
    x = 10,229.97

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