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Finding the Fourth Proportional to 19,682.22, 29,512.48 and 13,449.26

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Solution

The fourth proportional to 19,682.22, 29,512.48 and 13,449.26 is: 20,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.22 : 29,512.48 = 13,449.26 : x
  2. Step 2: Convert to fraction form
    19,682.22/29,512.48 = 13,449.26/x
  3. Step 3: Cross multiply
    19,682.22x = 29,512.48 × 13,449.26
  4. Step 4: Simplify right side
    19,682.22x = 396,921,016.76
  5. Step 5: Solve for x
    x = 396,921,016.76/19,682.22
  6. Step 6: Final answer
    x = 20,166.48

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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.