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Finding the Fourth Proportional to 13,657.31, 20,485.31 and 3,796.37

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Solution

The fourth proportional to 13,657.31, 20,485.31 and 3,796.37 is: 5,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.31 : 20,485.31 = 3,796.37 : x
  2. Step 2: Convert to fraction form
    13,657.31/20,485.31 = 3,796.37/x
  3. Step 3: Cross multiply
    13,657.31x = 20,485.31 × 3,796.37
  4. Step 4: Simplify right side
    13,657.31x = 77,769,771.74
  5. Step 5: Solve for x
    x = 77,769,771.74/13,657.31
  6. Step 6: Final answer
    x = 5,694.37

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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.