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Finding the Fourth Proportional to 16,448.24, 22,698.12 and 8,996.24

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Solution

The fourth proportional to 16,448.24, 22,698.12 and 8,996.24 is: 12,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.24 : 22,698.12 = 8,996.24 : x
  2. Step 2: Convert to fraction form
    16,448.24/22,698.12 = 8,996.24/x
  3. Step 3: Cross multiply
    16,448.24x = 22,698.12 × 8,996.24
  4. Step 4: Simplify right side
    16,448.24x = 204,197,735.07
  5. Step 5: Solve for x
    x = 204,197,735.07/16,448.24
  6. Step 6: Final answer
    x = 12,414.56

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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.