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Finding the Fourth Proportional to 13,706.28, 18,915.48 and 7,735.76

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Solution

The fourth proportional to 13,706.28, 18,915.48 and 7,735.76 is: 10,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.28 : 18,915.48 = 7,735.76 : x
  2. Step 2: Convert to fraction form
    13,706.28/18,915.48 = 7,735.76/x
  3. Step 3: Cross multiply
    13,706.28x = 18,915.48 × 7,735.76
  4. Step 4: Simplify right side
    13,706.28x = 146,325,613.56
  5. Step 5: Solve for x
    x = 146,325,613.56/13,706.28
  6. Step 6: Final answer
    x = 10,675.81

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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.