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Finding the Fourth Proportional to 13,078.96, 18,050.21 and 7,413.97

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Solution

The fourth proportional to 13,078.96, 18,050.21 and 7,413.97 is: 10,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.96 : 18,050.21 = 7,413.97 : x
  2. Step 2: Convert to fraction form
    13,078.96/18,050.21 = 7,413.97/x
  3. Step 3: Cross multiply
    13,078.96x = 18,050.21 × 7,413.97
  4. Step 4: Simplify right side
    13,078.96x = 133,823,715.43
  5. Step 5: Solve for x
    x = 133,823,715.43/13,078.96
  6. Step 6: Final answer
    x = 10,231.98

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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.