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Finding the Fourth Proportional to 12,567.62, 18,833.99 and 5,537.09

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Solution

The fourth proportional to 12,567.62, 18,833.99 and 5,537.09 is: 8,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.62 : 18,833.99 = 5,537.09 : x
  2. Step 2: Convert to fraction form
    12,567.62/18,833.99 = 5,537.09/x
  3. Step 3: Cross multiply
    12,567.62x = 18,833.99 × 5,537.09
  4. Step 4: Simplify right side
    12,567.62x = 104,285,375.83
  5. Step 5: Solve for x
    x = 104,285,375.83/12,567.62
  6. Step 6: Final answer
    x = 8,297.94

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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.