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Finding the Fourth Proportional to 13,605.36, 20,413.89 and 7,369.83

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Solution

The fourth proportional to 13,605.36, 20,413.89 and 7,369.83 is: 11,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.36 : 20,413.89 = 7,369.83 : x
  2. Step 2: Convert to fraction form
    13,605.36/20,413.89 = 7,369.83/x
  3. Step 3: Cross multiply
    13,605.36x = 20,413.89 × 7,369.83
  4. Step 4: Simplify right side
    13,605.36x = 150,446,898.94
  5. Step 5: Solve for x
    x = 150,446,898.94/13,605.36
  6. Step 6: Final answer
    x = 11,057.91

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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.