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Finding the Fourth Proportional to 23,806.98, 32,855.49 and 13,198.68

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Solution

The fourth proportional to 23,806.98, 32,855.49 and 13,198.68 is: 18,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.98 : 32,855.49 = 13,198.68 : x
  2. Step 2: Convert to fraction form
    23,806.98/32,855.49 = 13,198.68/x
  3. Step 3: Cross multiply
    23,806.98x = 32,855.49 × 13,198.68
  4. Step 4: Simplify right side
    23,806.98x = 433,649,098.75
  5. Step 5: Solve for x
    x = 433,649,098.75/23,806.98
  6. Step 6: Final answer
    x = 18,215.21

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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.