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Finding the Fourth Proportional to 13,647.26, 18,838.20 and 8,614.78

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Solution

The fourth proportional to 13,647.26, 18,838.20 and 8,614.78 is: 11,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.26 : 18,838.20 = 8,614.78 : x
  2. Step 2: Convert to fraction form
    13,647.26/18,838.20 = 8,614.78/x
  3. Step 3: Cross multiply
    13,647.26x = 18,838.20 × 8,614.78
  4. Step 4: Simplify right side
    13,647.26x = 162,286,948.60
  5. Step 5: Solve for x
    x = 162,286,948.60/13,647.26
  6. Step 6: Final answer
    x = 11,891.54

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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.