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Finding the Fourth Proportional to 12,225.38, 18,339.05 and 3,906.57

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Solution

The fourth proportional to 12,225.38, 18,339.05 and 3,906.57 is: 5,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.38 : 18,339.05 = 3,906.57 : x
  2. Step 2: Convert to fraction form
    12,225.38/18,339.05 = 3,906.57/x
  3. Step 3: Cross multiply
    12,225.38x = 18,339.05 × 3,906.57
  4. Step 4: Simplify right side
    12,225.38x = 71,642,782.56
  5. Step 5: Solve for x
    x = 71,642,782.56/12,225.38
  6. Step 6: Final answer
    x = 5,860.17

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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.