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Finding the Fourth Proportional to 12,231.03, 16,883.98 and 8,257.52

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Solution

The fourth proportional to 12,231.03, 16,883.98 and 8,257.52 is: 11,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.03 : 16,883.98 = 8,257.52 : x
  2. Step 2: Convert to fraction form
    12,231.03/16,883.98 = 8,257.52/x
  3. Step 3: Cross multiply
    12,231.03x = 16,883.98 × 8,257.52
  4. Step 4: Simplify right side
    12,231.03x = 139,419,811.45
  5. Step 5: Solve for x
    x = 139,419,811.45/12,231.03
  6. Step 6: Final answer
    x = 11,398.87

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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.