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Finding the Fourth Proportional to 11,331.94, 16,986.22 and 8,204.18

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Solution

The fourth proportional to 11,331.94, 16,986.22 and 8,204.18 is: 12,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.94 : 16,986.22 = 8,204.18 : x
  2. Step 2: Convert to fraction form
    11,331.94/16,986.22 = 8,204.18/x
  3. Step 3: Cross multiply
    11,331.94x = 16,986.22 × 8,204.18
  4. Step 4: Simplify right side
    11,331.94x = 139,358,006.40
  5. Step 5: Solve for x
    x = 139,358,006.40/11,331.94
  6. Step 6: Final answer
    x = 12,297.81

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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.