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Finding the Fourth Proportional to 16,843.98, 25,266 and 5,157.14

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Solution

The fourth proportional to 16,843.98, 25,266 and 5,157.14 is: 7,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.98 : 25,266 = 5,157.14 : x
  2. Step 2: Convert to fraction form
    16,843.98/25,266 = 5,157.14/x
  3. Step 3: Cross multiply
    16,843.98x = 25,266 × 5,157.14
  4. Step 4: Simplify right side
    16,843.98x = 130,300,299.24
  5. Step 5: Solve for x
    x = 130,300,299.24/16,843.98
  6. Step 6: Final answer
    x = 7,735.72

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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.