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Finding the Fourth Proportional to 12,385.09, 18,578.94 and 5,365.82

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Solution

The fourth proportional to 12,385.09, 18,578.94 and 5,365.82 is: 8,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.09 : 18,578.94 = 5,365.82 : x
  2. Step 2: Convert to fraction form
    12,385.09/18,578.94 = 5,365.82/x
  3. Step 3: Cross multiply
    12,385.09x = 18,578.94 × 5,365.82
  4. Step 4: Simplify right side
    12,385.09x = 99,691,247.83
  5. Step 5: Solve for x
    x = 99,691,247.83/12,385.09
  6. Step 6: Final answer
    x = 8,049.30

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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.