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Finding the Fourth Proportional to 16,687.64, 22,976.44 and 14,164.48

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Solution

The fourth proportional to 16,687.64, 22,976.44 and 14,164.48 is: 19,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,687.64 : 22,976.44 = 14,164.48 : x
  2. Step 2: Convert to fraction form
    16,687.64/22,976.44 = 14,164.48/x
  3. Step 3: Cross multiply
    16,687.64x = 22,976.44 × 14,164.48
  4. Step 4: Simplify right side
    16,687.64x = 325,449,324.85
  5. Step 5: Solve for x
    x = 325,449,324.85/16,687.64
  6. Step 6: Final answer
    x = 19,502.42

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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.