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Finding the Fourth Proportional to 16,448, 22,698.24 and 8,996

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Solution

The fourth proportional to 16,448, 22,698.24 and 8,996 is: 12,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448 : 22,698.24 = 8,996 : x
  2. Step 2: Convert to fraction form
    16,448/22,698.24 = 8,996/x
  3. Step 3: Cross multiply
    16,448x = 22,698.24 × 8,996
  4. Step 4: Simplify right side
    16,448x = 204,193,367.04
  5. Step 5: Solve for x
    x = 204,193,367.04/16,448
  6. Step 6: Final answer
    x = 12,414.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.