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Finding the Fourth Proportional to 13,725.51, 18,942.17 and 7,757.73

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Solution

The fourth proportional to 13,725.51, 18,942.17 and 7,757.73 is: 10,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.51 : 18,942.17 = 7,757.73 : x
  2. Step 2: Convert to fraction form
    13,725.51/18,942.17 = 7,757.73/x
  3. Step 3: Cross multiply
    13,725.51x = 18,942.17 × 7,757.73
  4. Step 4: Simplify right side
    13,725.51x = 146,948,201.69
  5. Step 5: Solve for x
    x = 146,948,201.69/13,725.51
  6. Step 6: Final answer
    x = 10,706.21

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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.