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Finding the Fourth Proportional to 13,413.59, 18,509.85 and 8,111.33

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Solution

The fourth proportional to 13,413.59, 18,509.85 and 8,111.33 is: 11,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.59 : 18,509.85 = 8,111.33 : x
  2. Step 2: Convert to fraction form
    13,413.59/18,509.85 = 8,111.33/x
  3. Step 3: Cross multiply
    13,413.59x = 18,509.85 × 8,111.33
  4. Step 4: Simplify right side
    13,413.59x = 150,139,409.05
  5. Step 5: Solve for x
    x = 150,139,409.05/13,413.59
  6. Step 6: Final answer
    x = 11,193.09

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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.