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Finding the Fourth Proportional to 13,706.26, 18,915.49 and 7,735.75

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Solution

The fourth proportional to 13,706.26, 18,915.49 and 7,735.75 is: 10,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.26 : 18,915.49 = 7,735.75 : x
  2. Step 2: Convert to fraction form
    13,706.26/18,915.49 = 7,735.75/x
  3. Step 3: Cross multiply
    13,706.26x = 18,915.49 × 7,735.75
  4. Step 4: Simplify right side
    13,706.26x = 146,325,501.77
  5. Step 5: Solve for x
    x = 146,325,501.77/13,706.26
  6. Step 6: Final answer
    x = 10,675.82

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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.