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Finding the Fourth Proportional to 13,743.66, 20,616.83 and 3,883.01

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Solution

The fourth proportional to 13,743.66, 20,616.83 and 3,883.01 is: 5,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.66 : 20,616.83 = 3,883.01 : x
  2. Step 2: Convert to fraction form
    13,743.66/20,616.83 = 3,883.01/x
  3. Step 3: Cross multiply
    13,743.66x = 20,616.83 × 3,883.01
  4. Step 4: Simplify right side
    13,743.66x = 80,055,366.77
  5. Step 5: Solve for x
    x = 80,055,366.77/13,743.66
  6. Step 6: Final answer
    x = 5,824.90

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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.