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Finding the Fourth Proportional to 16,900.84, 25,334.22 and 8,131

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Solution

The fourth proportional to 16,900.84, 25,334.22 and 8,131 is: 12,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.84 : 25,334.22 = 8,131 : x
  2. Step 2: Convert to fraction form
    16,900.84/25,334.22 = 8,131/x
  3. Step 3: Cross multiply
    16,900.84x = 25,334.22 × 8,131
  4. Step 4: Simplify right side
    16,900.84x = 205,992,542.82
  5. Step 5: Solve for x
    x = 205,992,542.82/16,900.84
  6. Step 6: Final answer
    x = 12,188.30

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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.