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Finding the Fourth Proportional to 13,853.63, 20,784 and 3,993.68

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Solution

The fourth proportional to 13,853.63, 20,784 and 3,993.68 is: 5,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.63 : 20,784 = 3,993.68 : x
  2. Step 2: Convert to fraction form
    13,853.63/20,784 = 3,993.68/x
  3. Step 3: Cross multiply
    13,853.63x = 20,784 × 3,993.68
  4. Step 4: Simplify right side
    13,853.63x = 83,004,645.12
  5. Step 5: Solve for x
    x = 83,004,645.12/13,853.63
  6. Step 6: Final answer
    x = 5,991.54

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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.