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Finding the Fourth Proportional to 16,728.92, 23,065.71 and 14,456.19

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Solution

The fourth proportional to 16,728.92, 23,065.71 and 14,456.19 is: 19,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.92 : 23,065.71 = 14,456.19 : x
  2. Step 2: Convert to fraction form
    16,728.92/23,065.71 = 14,456.19/x
  3. Step 3: Cross multiply
    16,728.92x = 23,065.71 × 14,456.19
  4. Step 4: Simplify right side
    16,728.92x = 333,442,286.24
  5. Step 5: Solve for x
    x = 333,442,286.24/16,728.92
  6. Step 6: Final answer
    x = 19,932.09

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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.