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Finding the Fourth Proportional to 12,243.25, 16,900.85 and 8,269.74

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Solution

The fourth proportional to 12,243.25, 16,900.85 and 8,269.74 is: 11,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.25 : 16,900.85 = 8,269.74 : x
  2. Step 2: Convert to fraction form
    12,243.25/16,900.85 = 8,269.74/x
  3. Step 3: Cross multiply
    12,243.25x = 16,900.85 × 8,269.74
  4. Step 4: Simplify right side
    12,243.25x = 139,765,635.28
  5. Step 5: Solve for x
    x = 139,765,635.28/12,243.25
  6. Step 6: Final answer
    x = 11,415.73

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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.