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Finding the Fourth Proportional to 23,806.50, 32,855.35 and 13,198.17

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Solution

The fourth proportional to 23,806.50, 32,855.35 and 13,198.17 is: 18,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.50 : 32,855.35 = 13,198.17 : x
  2. Step 2: Convert to fraction form
    23,806.50/32,855.35 = 13,198.17/x
  3. Step 3: Cross multiply
    23,806.50x = 32,855.35 × 13,198.17
  4. Step 4: Simplify right side
    23,806.50x = 433,630,494.71
  5. Step 5: Solve for x
    x = 433,630,494.71/23,806.50
  6. Step 6: Final answer
    x = 18,214.79

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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.