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Finding the Fourth Proportional to 13,944.25, 20,864.04 and 9,792.37

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Solution

The fourth proportional to 13,944.25, 20,864.04 and 9,792.37 is: 14,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.25 : 20,864.04 = 9,792.37 : x
  2. Step 2: Convert to fraction form
    13,944.25/20,864.04 = 9,792.37/x
  3. Step 3: Cross multiply
    13,944.25x = 20,864.04 × 9,792.37
  4. Step 4: Simplify right side
    13,944.25x = 204,308,399.37
  5. Step 5: Solve for x
    x = 204,308,399.37/13,944.25
  6. Step 6: Final answer
    x = 14,651.80

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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.