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Finding the Fourth Proportional to 13,654.72, 18,843.57 and 8,349.46

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Solution

The fourth proportional to 13,654.72, 18,843.57 and 8,349.46 is: 11,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.72 : 18,843.57 = 8,349.46 : x
  2. Step 2: Convert to fraction form
    13,654.72/18,843.57 = 8,349.46/x
  3. Step 3: Cross multiply
    13,654.72x = 18,843.57 × 8,349.46
  4. Step 4: Simplify right side
    13,654.72x = 157,333,633.97
  5. Step 5: Solve for x
    x = 157,333,633.97/13,654.72
  6. Step 6: Final answer
    x = 11,522.29

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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.