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Finding the Fourth Proportional to 12,469.46, 17,210 and 11,908.94

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Solution

The fourth proportional to 12,469.46, 17,210 and 11,908.94 is: 16,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.46 : 17,210 = 11,908.94 : x
  2. Step 2: Convert to fraction form
    12,469.46/17,210 = 11,908.94/x
  3. Step 3: Cross multiply
    12,469.46x = 17,210 × 11,908.94
  4. Step 4: Simplify right side
    12,469.46x = 204,952,857.40
  5. Step 5: Solve for x
    x = 204,952,857.40/12,469.46
  6. Step 6: Final answer
    x = 16,436.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.