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Finding the Fourth Proportional to 16,714, 25,071 and 5,027.23

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Solution

The fourth proportional to 16,714, 25,071 and 5,027.23 is: 7,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714 : 25,071 = 5,027.23 : x
  2. Step 2: Convert to fraction form
    16,714/25,071 = 5,027.23/x
  3. Step 3: Cross multiply
    16,714x = 25,071 × 5,027.23
  4. Step 4: Simplify right side
    16,714x = 126,037,683.33
  5. Step 5: Solve for x
    x = 126,037,683.33/16,714
  6. Step 6: Final answer
    x = 7,540.85

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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.