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Finding the Fourth Proportional to 12,696.91, 17,523.66 and 7,917.63

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Solution

The fourth proportional to 12,696.91, 17,523.66 and 7,917.63 is: 10,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.91 : 17,523.66 = 7,917.63 : x
  2. Step 2: Convert to fraction form
    12,696.91/17,523.66 = 7,917.63/x
  3. Step 3: Cross multiply
    12,696.91x = 17,523.66 × 7,917.63
  4. Step 4: Simplify right side
    12,696.91x = 138,745,856.13
  5. Step 5: Solve for x
    x = 138,745,856.13/12,696.91
  6. Step 6: Final answer
    x = 10,927.53

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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.