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Finding the Fourth Proportional to 12,217.23, 18,333.06 and 5,198.68

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Solution

The fourth proportional to 12,217.23, 18,333.06 and 5,198.68 is: 7,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.23 : 18,333.06 = 5,198.68 : x
  2. Step 2: Convert to fraction form
    12,217.23/18,333.06 = 5,198.68/x
  3. Step 3: Cross multiply
    12,217.23x = 18,333.06 × 5,198.68
  4. Step 4: Simplify right side
    12,217.23x = 95,307,730.40
  5. Step 5: Solve for x
    x = 95,307,730.40/12,217.23
  6. Step 6: Final answer
    x = 7,801.09

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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.