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Finding the Fourth Proportional to 12,614.15, 18,922.26 and 5,217.23

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Solution

The fourth proportional to 12,614.15, 18,922.26 and 5,217.23 is: 7,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.15 : 18,922.26 = 5,217.23 : x
  2. Step 2: Convert to fraction form
    12,614.15/18,922.26 = 5,217.23/x
  3. Step 3: Cross multiply
    12,614.15x = 18,922.26 × 5,217.23
  4. Step 4: Simplify right side
    12,614.15x = 98,721,782.54
  5. Step 5: Solve for x
    x = 98,721,782.54/12,614.15
  6. Step 6: Final answer
    x = 7,826.27

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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.