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Finding the Fourth Proportional to 10,714.80, 16,044.24 and 8,623.38

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Solution

The fourth proportional to 10,714.80, 16,044.24 and 8,623.38 is: 12,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.80 : 16,044.24 = 8,623.38 : x
  2. Step 2: Convert to fraction form
    10,714.80/16,044.24 = 8,623.38/x
  3. Step 3: Cross multiply
    10,714.80x = 16,044.24 × 8,623.38
  4. Step 4: Simplify right side
    10,714.80x = 138,355,578.33
  5. Step 5: Solve for x
    x = 138,355,578.33/10,714.80
  6. Step 6: Final answer
    x = 12,912.57

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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.