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Finding the Fourth Proportional to 11,614.47, 17,427.18 and 7,229.54

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Solution

The fourth proportional to 11,614.47, 17,427.18 and 7,229.54 is: 10,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.47 : 17,427.18 = 7,229.54 : x
  2. Step 2: Convert to fraction form
    11,614.47/17,427.18 = 7,229.54/x
  3. Step 3: Cross multiply
    11,614.47x = 17,427.18 × 7,229.54
  4. Step 4: Simplify right side
    11,614.47x = 125,990,407.76
  5. Step 5: Solve for x
    x = 125,990,407.76/11,614.47
  6. Step 6: Final answer
    x = 10,847.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.