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Finding the Fourth Proportional to 29,089.25, 40,143.11 and 16,514

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Solution

The fourth proportional to 29,089.25, 40,143.11 and 16,514 is: 22,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089.25 : 40,143.11 = 16,514 : x
  2. Step 2: Convert to fraction form
    29,089.25/40,143.11 = 16,514/x
  3. Step 3: Cross multiply
    29,089.25x = 40,143.11 × 16,514
  4. Step 4: Simplify right side
    29,089.25x = 662,923,318.54
  5. Step 5: Solve for x
    x = 662,923,318.54/29,089.25
  6. Step 6: Final answer
    x = 22,789.29

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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.