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Finding the Fourth Proportional to 12,696.29, 17,504.33 and 9,707.39

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Solution

The fourth proportional to 12,696.29, 17,504.33 and 9,707.39 is: 13,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.29 : 17,504.33 = 9,707.39 : x
  2. Step 2: Convert to fraction form
    12,696.29/17,504.33 = 9,707.39/x
  3. Step 3: Cross multiply
    12,696.29x = 17,504.33 × 9,707.39
  4. Step 4: Simplify right side
    12,696.29x = 169,921,221.94
  5. Step 5: Solve for x
    x = 169,921,221.94/12,696.29
  6. Step 6: Final answer
    x = 13,383.54

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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.