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Finding the Fourth Proportional to 12,696.82, 17,523.17 and 7,663.93

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Solution

The fourth proportional to 12,696.82, 17,523.17 and 7,663.93 is: 10,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.82 : 17,523.17 = 7,663.93 : x
  2. Step 2: Convert to fraction form
    12,696.82/17,523.17 = 7,663.93/x
  3. Step 3: Cross multiply
    12,696.82x = 17,523.17 × 7,663.93
  4. Step 4: Simplify right side
    12,696.82x = 134,296,348.26
  5. Step 5: Solve for x
    x = 134,296,348.26/12,696.82
  6. Step 6: Final answer
    x = 10,577.16

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