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Finding the Fourth Proportional to 13,413.94, 20,114.43 and 5,620.66

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Solution

The fourth proportional to 13,413.94, 20,114.43 and 5,620.66 is: 8,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.94 : 20,114.43 = 5,620.66 : x
  2. Step 2: Convert to fraction form
    13,413.94/20,114.43 = 5,620.66/x
  3. Step 3: Cross multiply
    13,413.94x = 20,114.43 × 5,620.66
  4. Step 4: Simplify right side
    13,413.94x = 113,056,372.12
  5. Step 5: Solve for x
    x = 113,056,372.12/13,413.94
  6. Step 6: Final answer
    x = 8,428.27

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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.