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Finding the Fourth Proportional to 11,149.10, 16,714.41 and 8,694.80

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Solution

The fourth proportional to 11,149.10, 16,714.41 and 8,694.80 is: 13,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.10 : 16,714.41 = 8,694.80 : x
  2. Step 2: Convert to fraction form
    11,149.10/16,714.41 = 8,694.80/x
  3. Step 3: Cross multiply
    11,149.10x = 16,714.41 × 8,694.80
  4. Step 4: Simplify right side
    11,149.10x = 145,328,368.50
  5. Step 5: Solve for x
    x = 145,328,368.50/11,149.10
  6. Step 6: Final answer
    x = 13,034.99

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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.