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Finding the Fourth Proportional to 12,997.50, 19,496.24 and 5,103.73

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Solution

The fourth proportional to 12,997.50, 19,496.24 and 5,103.73 is: 7,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.50 : 19,496.24 = 5,103.73 : x
  2. Step 2: Convert to fraction form
    12,997.50/19,496.24 = 5,103.73/x
  3. Step 3: Cross multiply
    12,997.50x = 19,496.24 × 5,103.73
  4. Step 4: Simplify right side
    12,997.50x = 99,503,544.98
  5. Step 5: Solve for x
    x = 99,503,544.98/12,997.50
  6. Step 6: Final answer
    x = 7,655.59

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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.