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Finding the Fourth Proportional to 17,173.64, 25,769.25 and 8,177.94

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Solution

The fourth proportional to 17,173.64, 25,769.25 and 8,177.94 is: 12,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,173.64 : 25,769.25 = 8,177.94 : x
  2. Step 2: Convert to fraction form
    17,173.64/25,769.25 = 8,177.94/x
  3. Step 3: Cross multiply
    17,173.64x = 25,769.25 × 8,177.94
  4. Step 4: Simplify right side
    17,173.64x = 210,739,380.35
  5. Step 5: Solve for x
    x = 210,739,380.35/17,173.64
  6. Step 6: Final answer
    x = 12,271.09

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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.