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Finding the Fourth Proportional to 11,618.50, 16,022.67 and 8,961.70

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Solution

The fourth proportional to 11,618.50, 16,022.67 and 8,961.70 is: 12,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.50 : 16,022.67 = 8,961.70 : x
  2. Step 2: Convert to fraction form
    11,618.50/16,022.67 = 8,961.70/x
  3. Step 3: Cross multiply
    11,618.50x = 16,022.67 × 8,961.70
  4. Step 4: Simplify right side
    11,618.50x = 143,590,361.74
  5. Step 5: Solve for x
    x = 143,590,361.74/11,618.50
  6. Step 6: Final answer
    x = 12,358.77

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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.