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Finding the Fourth Proportional to 22,438.97, 30,965.64 and 12,229.99

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Solution

The fourth proportional to 22,438.97, 30,965.64 and 12,229.99 is: 16,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.97 : 30,965.64 = 12,229.99 : x
  2. Step 2: Convert to fraction form
    22,438.97/30,965.64 = 12,229.99/x
  3. Step 3: Cross multiply
    22,438.97x = 30,965.64 × 12,229.99
  4. Step 4: Simplify right side
    22,438.97x = 378,709,467.54
  5. Step 5: Solve for x
    x = 378,709,467.54/22,438.97
  6. Step 6: Final answer
    x = 16,877.31

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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.