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Finding the Fourth Proportional to 12,997.94, 19,498.28 and 4,231.72

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Solution

The fourth proportional to 12,997.94, 19,498.28 and 4,231.72 is: 6,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.94 : 19,498.28 = 4,231.72 : x
  2. Step 2: Convert to fraction form
    12,997.94/19,498.28 = 4,231.72/x
  3. Step 3: Cross multiply
    12,997.94x = 19,498.28 × 4,231.72
  4. Step 4: Simplify right side
    12,997.94x = 82,511,261.44
  5. Step 5: Solve for x
    x = 82,511,261.44/12,997.94
  6. Step 6: Final answer
    x = 6,348.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.