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Finding the Fourth Proportional to 21,198.68, 29,252.72 and 11,766.50

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Solution

The fourth proportional to 21,198.68, 29,252.72 and 11,766.50 is: 16,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.68 : 29,252.72 = 11,766.50 : x
  2. Step 2: Convert to fraction form
    21,198.68/29,252.72 = 11,766.50/x
  3. Step 3: Cross multiply
    21,198.68x = 29,252.72 × 11,766.50
  4. Step 4: Simplify right side
    21,198.68x = 344,202,071.05
  5. Step 5: Solve for x
    x = 344,202,071.05/21,198.68
  6. Step 6: Final answer
    x = 16,236.96

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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.