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Finding the Fourth Proportional to 19,806.44, 29,689.67 and 12,416.09

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Solution

The fourth proportional to 19,806.44, 29,689.67 and 12,416.09 is: 18,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.44 : 29,689.67 = 12,416.09 : x
  2. Step 2: Convert to fraction form
    19,806.44/29,689.67 = 12,416.09/x
  3. Step 3: Cross multiply
    19,806.44x = 29,689.67 × 12,416.09
  4. Step 4: Simplify right side
    19,806.44x = 368,629,720.05
  5. Step 5: Solve for x
    x = 368,629,720.05/19,806.44
  6. Step 6: Final answer
    x = 18,611.61

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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.