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Finding the Fourth Proportional to 11,714, 17,543.39 and 10,166.62

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Solution

The fourth proportional to 11,714, 17,543.39 and 10,166.62 is: 15,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714 : 17,543.39 = 10,166.62 : x
  2. Step 2: Convert to fraction form
    11,714/17,543.39 = 10,166.62/x
  3. Step 3: Cross multiply
    11,714x = 17,543.39 × 10,166.62
  4. Step 4: Simplify right side
    11,714x = 178,356,979.64
  5. Step 5: Solve for x
    x = 178,356,979.64/11,714
  6. Step 6: Final answer
    x = 15,225.97

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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.