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Finding the Fourth Proportional to 12,249.06, 18,384.89 and 7,578.20

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Solution

The fourth proportional to 12,249.06, 18,384.89 and 7,578.20 is: 11,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.06 : 18,384.89 = 7,578.20 : x
  2. Step 2: Convert to fraction form
    12,249.06/18,384.89 = 7,578.20/x
  3. Step 3: Cross multiply
    12,249.06x = 18,384.89 × 7,578.20
  4. Step 4: Simplify right side
    12,249.06x = 139,324,243.58
  5. Step 5: Solve for x
    x = 139,324,243.58/12,249.06
  6. Step 6: Final answer
    x = 11,374.28

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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.