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Finding the Fourth Proportional to 21,006, 31,514.12 and 6,414

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Solution

The fourth proportional to 21,006, 31,514.12 and 6,414 is: 9,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006 : 31,514.12 = 6,414 : x
  2. Step 2: Convert to fraction form
    21,006/31,514.12 = 6,414/x
  3. Step 3: Cross multiply
    21,006x = 31,514.12 × 6,414
  4. Step 4: Simplify right side
    21,006x = 202,131,565.68
  5. Step 5: Solve for x
    x = 202,131,565.68/21,006
  6. Step 6: Final answer
    x = 9,622.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.