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Finding the Fourth Proportional to 12,149.34, 18,226.08 and 5,576.09

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Solution

The fourth proportional to 12,149.34, 18,226.08 and 5,576.09 is: 8,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.34 : 18,226.08 = 5,576.09 : x
  2. Step 2: Convert to fraction form
    12,149.34/18,226.08 = 5,576.09/x
  3. Step 3: Cross multiply
    12,149.34x = 18,226.08 × 5,576.09
  4. Step 4: Simplify right side
    12,149.34x = 101,630,262.43
  5. Step 5: Solve for x
    x = 101,630,262.43/12,149.34
  6. Step 6: Final answer
    x = 8,365.09

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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.