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Finding the Fourth Proportional to 12,638.73, 17,431.56 and 8,162.94

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Solution

The fourth proportional to 12,638.73, 17,431.56 and 8,162.94 is: 11,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.73 : 17,431.56 = 8,162.94 : x
  2. Step 2: Convert to fraction form
    12,638.73/17,431.56 = 8,162.94/x
  3. Step 3: Cross multiply
    12,638.73x = 17,431.56 × 8,162.94
  4. Step 4: Simplify right side
    12,638.73x = 142,292,778.39
  5. Step 5: Solve for x
    x = 142,292,778.39/12,638.73
  6. Step 6: Final answer
    x = 11,258.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.