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Finding the Fourth Proportional to 13,993.36, 20,976.42 and 8,981.60

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Solution

The fourth proportional to 13,993.36, 20,976.42 and 8,981.60 is: 13,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.36 : 20,976.42 = 8,981.60 : x
  2. Step 2: Convert to fraction form
    13,993.36/20,976.42 = 8,981.60/x
  3. Step 3: Cross multiply
    13,993.36x = 20,976.42 × 8,981.60
  4. Step 4: Simplify right side
    13,993.36x = 188,401,813.87
  5. Step 5: Solve for x
    x = 188,401,813.87/13,993.36
  6. Step 6: Final answer
    x = 13,463.66

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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.