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Finding the Fourth Proportional to 12,385.39, 18,578.09 and 5,359.66

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Solution

The fourth proportional to 12,385.39, 18,578.09 and 5,359.66 is: 8,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.39 : 18,578.09 = 5,359.66 : x
  2. Step 2: Convert to fraction form
    12,385.39/18,578.09 = 5,359.66/x
  3. Step 3: Cross multiply
    12,385.39x = 18,578.09 × 5,359.66
  4. Step 4: Simplify right side
    12,385.39x = 99,572,245.85
  5. Step 5: Solve for x
    x = 99,572,245.85/12,385.39
  6. Step 6: Final answer
    x = 8,039.49

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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.