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Finding the Fourth Proportional to 13,540.97, 18,685.69 and 8,505

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Solution

The fourth proportional to 13,540.97, 18,685.69 and 8,505 is: 11,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.97 : 18,685.69 = 8,505 : x
  2. Step 2: Convert to fraction form
    13,540.97/18,685.69 = 8,505/x
  3. Step 3: Cross multiply
    13,540.97x = 18,685.69 × 8,505
  4. Step 4: Simplify right side
    13,540.97x = 158,921,772.19
  5. Step 5: Solve for x
    x = 158,921,772.19/13,540.97
  6. Step 6: Final answer
    x = 11,736.36

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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.