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Finding the Fourth Proportional to 12,226.96, 18,344.09 and 7,029.19

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Solution

The fourth proportional to 12,226.96, 18,344.09 and 7,029.19 is: 10,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.96 : 18,344.09 = 7,029.19 : x
  2. Step 2: Convert to fraction form
    12,226.96/18,344.09 = 7,029.19/x
  3. Step 3: Cross multiply
    12,226.96x = 18,344.09 × 7,029.19
  4. Step 4: Simplify right side
    12,226.96x = 128,944,093.99
  5. Step 5: Solve for x
    x = 128,944,093.99/12,226.96
  6. Step 6: Final answer
    x = 10,545.88

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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.