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Finding the Fourth Proportional to 12,896.43, 17,797.01 and 7,231.17

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Solution

The fourth proportional to 12,896.43, 17,797.01 and 7,231.17 is: 9,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.43 : 17,797.01 = 7,231.17 : x
  2. Step 2: Convert to fraction form
    12,896.43/17,797.01 = 7,231.17/x
  3. Step 3: Cross multiply
    12,896.43x = 17,797.01 × 7,231.17
  4. Step 4: Simplify right side
    12,896.43x = 128,693,255.72
  5. Step 5: Solve for x
    x = 128,693,255.72/12,896.43
  6. Step 6: Final answer
    x = 9,978.98

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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.