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Finding the Fourth Proportional to 13,840.32, 20,760.48 and 11,857.44

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Solution

The fourth proportional to 13,840.32, 20,760.48 and 11,857.44 is: 17,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.32 : 20,760.48 = 11,857.44 : x
  2. Step 2: Convert to fraction form
    13,840.32/20,760.48 = 11,857.44/x
  3. Step 3: Cross multiply
    13,840.32x = 20,760.48 × 11,857.44
  4. Step 4: Simplify right side
    13,840.32x = 246,166,145.97
  5. Step 5: Solve for x
    x = 246,166,145.97/13,840.32
  6. Step 6: Final answer
    x = 17,786.16

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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.