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Finding the Fourth Proportional to 17,265.38, 23,768.62 and 16,471.91

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Solution

The fourth proportional to 17,265.38, 23,768.62 and 16,471.91 is: 22,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.38 : 23,768.62 = 16,471.91 : x
  2. Step 2: Convert to fraction form
    17,265.38/23,768.62 = 16,471.91/x
  3. Step 3: Cross multiply
    17,265.38x = 23,768.62 × 16,471.91
  4. Step 4: Simplify right side
    17,265.38x = 391,514,569.46
  5. Step 5: Solve for x
    x = 391,514,569.46/17,265.38
  6. Step 6: Final answer
    x = 22,676.28

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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.