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Finding the Fourth Proportional to 11,696.40, 17,461.34 and 11,286.36

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Solution

The fourth proportional to 11,696.40, 17,461.34 and 11,286.36 is: 16,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.40 : 17,461.34 = 11,286.36 : x
  2. Step 2: Convert to fraction form
    11,696.40/17,461.34 = 11,286.36/x
  3. Step 3: Cross multiply
    11,696.40x = 17,461.34 × 11,286.36
  4. Step 4: Simplify right side
    11,696.40x = 197,074,912.89
  5. Step 5: Solve for x
    x = 197,074,912.89/11,696.40
  6. Step 6: Final answer
    x = 16,849.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.