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Finding the Fourth Proportional to 13,605.67, 20,413.75 and 5,291.54

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Solution

The fourth proportional to 13,605.67, 20,413.75 and 5,291.54 is: 7,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.67 : 20,413.75 = 5,291.54 : x
  2. Step 2: Convert to fraction form
    13,605.67/20,413.75 = 5,291.54/x
  3. Step 3: Cross multiply
    13,605.67x = 20,413.75 × 5,291.54
  4. Step 4: Simplify right side
    13,605.67x = 108,020,174.68
  5. Step 5: Solve for x
    x = 108,020,174.68/13,605.67
  6. Step 6: Final answer
    x = 7,939.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.