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Finding the Fourth Proportional to 13,706.24, 18,915.48 and 7,735.73

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Solution

The fourth proportional to 13,706.24, 18,915.48 and 7,735.73 is: 10,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.24 : 18,915.48 = 7,735.73 : x
  2. Step 2: Convert to fraction form
    13,706.24/18,915.48 = 7,735.73/x
  3. Step 3: Cross multiply
    13,706.24x = 18,915.48 × 7,735.73
  4. Step 4: Simplify right side
    13,706.24x = 146,324,951.52
  5. Step 5: Solve for x
    x = 146,324,951.52/13,706.24
  6. Step 6: Final answer
    x = 10,675.79

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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.