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Finding the Fourth Proportional to 16,843, 23,243.82 and 9,391.48

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Solution

The fourth proportional to 16,843, 23,243.82 and 9,391.48 is: 12,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843 : 23,243.82 = 9,391.48 : x
  2. Step 2: Convert to fraction form
    16,843/23,243.82 = 9,391.48/x
  3. Step 3: Cross multiply
    16,843x = 23,243.82 × 9,391.48
  4. Step 4: Simplify right side
    16,843x = 218,293,870.65
  5. Step 5: Solve for x
    x = 218,293,870.65/16,843
  6. Step 6: Final answer
    x = 12,960.51

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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.