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Finding the Fourth Proportional to 23,806.80, 32,855.74 and 13,198.48

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Solution

The fourth proportional to 23,806.80, 32,855.74 and 13,198.48 is: 18,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.80 : 32,855.74 = 13,198.48 : x
  2. Step 2: Convert to fraction form
    23,806.80/32,855.74 = 13,198.48/x
  3. Step 3: Cross multiply
    23,806.80x = 32,855.74 × 13,198.48
  4. Step 4: Simplify right side
    23,806.80x = 433,645,827.28
  5. Step 5: Solve for x
    x = 433,645,827.28/23,806.80
  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.