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Finding the Fourth Proportional to 12,623.44, 18,937.86 and 3,859

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Solution

The fourth proportional to 12,623.44, 18,937.86 and 3,859 is: 5,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623.44 : 18,937.86 = 3,859 : x
  2. Step 2: Convert to fraction form
    12,623.44/18,937.86 = 3,859/x
  3. Step 3: Cross multiply
    12,623.44x = 18,937.86 × 3,859
  4. Step 4: Simplify right side
    12,623.44x = 73,081,201.74
  5. Step 5: Solve for x
    x = 73,081,201.74/12,623.44
  6. Step 6: Final answer
    x = 5,789.33

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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.