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Finding the Fourth Proportional to 14,170.94, 21,257.85 and 5,413.22

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Solution

The fourth proportional to 14,170.94, 21,257.85 and 5,413.22 is: 8,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.94 : 21,257.85 = 5,413.22 : x
  2. Step 2: Convert to fraction form
    14,170.94/21,257.85 = 5,413.22/x
  3. Step 3: Cross multiply
    14,170.94x = 21,257.85 × 5,413.22
  4. Step 4: Simplify right side
    14,170.94x = 115,073,418.78
  5. Step 5: Solve for x
    x = 115,073,418.78/14,170.94
  6. Step 6: Final answer
    x = 8,120.38

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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.