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Finding the Fourth Proportional to 16,857, 25,297.02 and 5,913

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Solution

The fourth proportional to 16,857, 25,297.02 and 5,913 is: 8,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857 : 25,297.02 = 5,913 : x
  2. Step 2: Convert to fraction form
    16,857/25,297.02 = 5,913/x
  3. Step 3: Cross multiply
    16,857x = 25,297.02 × 5,913
  4. Step 4: Simplify right side
    16,857x = 149,581,279.26
  5. Step 5: Solve for x
    x = 149,581,279.26/16,857
  6. Step 6: Final answer
    x = 8,873.54

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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.