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Finding the Fourth Proportional to 29,714.90, 41,006.31 and 16,285.88

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Solution

The fourth proportional to 29,714.90, 41,006.31 and 16,285.88 is: 22,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.90 : 41,006.31 = 16,285.88 : x
  2. Step 2: Convert to fraction form
    29,714.90/41,006.31 = 16,285.88/x
  3. Step 3: Cross multiply
    29,714.90x = 41,006.31 × 16,285.88
  4. Step 4: Simplify right side
    29,714.90x = 667,823,843.90
  5. Step 5: Solve for x
    x = 667,823,843.90/29,714.90
  6. Step 6: Final answer
    x = 22,474.38

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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.