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Finding the Fourth Proportional to 12,424.44, 18,645.30 and 8,031

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Solution

The fourth proportional to 12,424.44, 18,645.30 and 8,031 is: 12,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.44 : 18,645.30 = 8,031 : x
  2. Step 2: Convert to fraction form
    12,424.44/18,645.30 = 8,031/x
  3. Step 3: Cross multiply
    12,424.44x = 18,645.30 × 8,031
  4. Step 4: Simplify right side
    12,424.44x = 149,740,404.30
  5. Step 5: Solve for x
    x = 149,740,404.30/12,424.44
  6. Step 6: Final answer
    x = 12,052.08

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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.