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Finding the Fourth Proportional to 16,744.92, 23,089 and 10,687

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Solution

The fourth proportional to 16,744.92, 23,089 and 10,687 is: 14,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.92 : 23,089 = 10,687 : x
  2. Step 2: Convert to fraction form
    16,744.92/23,089 = 10,687/x
  3. Step 3: Cross multiply
    16,744.92x = 23,089 × 10,687
  4. Step 4: Simplify right side
    16,744.92x = 246,752,143
  5. Step 5: Solve for x
    x = 246,752,143/16,744.92
  6. Step 6: Final answer
    x = 14,735.94

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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.