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Finding the Fourth Proportional to 16,997.70, 25,497.77 and 5,902.95

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Solution

The fourth proportional to 16,997.70, 25,497.77 and 5,902.95 is: 8,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.70 : 25,497.77 = 5,902.95 : x
  2. Step 2: Convert to fraction form
    16,997.70/25,497.77 = 5,902.95/x
  3. Step 3: Cross multiply
    16,997.70x = 25,497.77 × 5,902.95
  4. Step 4: Simplify right side
    16,997.70x = 150,512,031.91
  5. Step 5: Solve for x
    x = 150,512,031.91/16,997.70
  6. Step 6: Final answer
    x = 8,854.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.