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Finding the Fourth Proportional to 11,221.65, 16,850.70 and 8,123.40

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Solution

The fourth proportional to 11,221.65, 16,850.70 and 8,123.40 is: 12,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.65 : 16,850.70 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    11,221.65/16,850.70 = 8,123.40/x
  3. Step 3: Cross multiply
    11,221.65x = 16,850.70 × 8,123.40
  4. Step 4: Simplify right side
    11,221.65x = 136,884,976.38
  5. Step 5: Solve for x
    x = 136,884,976.38/11,221.65
  6. Step 6: Final answer
    x = 12,198.29

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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.