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Finding the Fourth Proportional to 29,714.52, 41,006.46 and 16,287

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Solution

The fourth proportional to 29,714.52, 41,006.46 and 16,287 is: 22,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.52 : 41,006.46 = 16,287 : x
  2. Step 2: Convert to fraction form
    29,714.52/41,006.46 = 16,287/x
  3. Step 3: Cross multiply
    29,714.52x = 41,006.46 × 16,287
  4. Step 4: Simplify right side
    29,714.52x = 667,872,214.02
  5. Step 5: Solve for x
    x = 667,872,214.02/29,714.52
  6. Step 6: Final answer
    x = 22,476.29

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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.