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Finding the Fourth Proportional to 12,896.12, 17,754.12 and 11,216.63

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Solution

The fourth proportional to 12,896.12, 17,754.12 and 11,216.63 is: 15,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.12 : 17,754.12 = 11,216.63 : x
  2. Step 2: Convert to fraction form
    12,896.12/17,754.12 = 11,216.63/x
  3. Step 3: Cross multiply
    12,896.12x = 17,754.12 × 11,216.63
  4. Step 4: Simplify right side
    12,896.12x = 199,141,306.25
  5. Step 5: Solve for x
    x = 199,141,306.25/12,896.12
  6. Step 6: Final answer
    x = 15,441.96

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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.