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Finding the Fourth Proportional to 16,769.22, 25,156.98 and 8,004.75

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Solution

The fourth proportional to 16,769.22, 25,156.98 and 8,004.75 is: 12,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.22 : 25,156.98 = 8,004.75 : x
  2. Step 2: Convert to fraction form
    16,769.22/25,156.98 = 8,004.75/x
  3. Step 3: Cross multiply
    16,769.22x = 25,156.98 × 8,004.75
  4. Step 4: Simplify right side
    16,769.22x = 201,375,335.66
  5. Step 5: Solve for x
    x = 201,375,335.66/16,769.22
  6. Step 6: Final answer
    x = 12,008.63

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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.