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Finding the Fourth Proportional to 17,689.38, 24,391.41 and 13,647

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Solution

The fourth proportional to 17,689.38, 24,391.41 and 13,647 is: 18,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.38 : 24,391.41 = 13,647 : x
  2. Step 2: Convert to fraction form
    17,689.38/24,391.41 = 13,647/x
  3. Step 3: Cross multiply
    17,689.38x = 24,391.41 × 13,647
  4. Step 4: Simplify right side
    17,689.38x = 332,869,572.27
  5. Step 5: Solve for x
    x = 332,869,572.27/17,689.38
  6. Step 6: Final answer
    x = 18,817.48

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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.