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Finding the Fourth Proportional to 12,696.97, 17,515.93 and 8,222.17

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Solution

The fourth proportional to 12,696.97, 17,515.93 and 8,222.17 is: 11,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.97 : 17,515.93 = 8,222.17 : x
  2. Step 2: Convert to fraction form
    12,696.97/17,515.93 = 8,222.17/x
  3. Step 3: Cross multiply
    12,696.97x = 17,515.93 × 8,222.17
  4. Step 4: Simplify right side
    12,696.97x = 144,018,954.17
  5. Step 5: Solve for x
    x = 144,018,954.17/12,696.97
  6. Step 6: Final answer
    x = 11,342.78

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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.