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Finding the Fourth Proportional to 13,832.70, 20,743.96 and 4,945.63

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Solution

The fourth proportional to 13,832.70, 20,743.96 and 4,945.63 is: 7,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.70 : 20,743.96 = 4,945.63 : x
  2. Step 2: Convert to fraction form
    13,832.70/20,743.96 = 4,945.63/x
  3. Step 3: Cross multiply
    13,832.70x = 20,743.96 × 4,945.63
  4. Step 4: Simplify right side
    13,832.70x = 102,591,979.27
  5. Step 5: Solve for x
    x = 102,591,979.27/13,832.70
  6. Step 6: Final answer
    x = 7,416.63

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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.