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Finding the Fourth Proportional to 12,278.65, 18,418.10 and 6,728.97

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Solution

The fourth proportional to 12,278.65, 18,418.10 and 6,728.97 is: 10,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.65 : 18,418.10 = 6,728.97 : x
  2. Step 2: Convert to fraction form
    12,278.65/18,418.10 = 6,728.97/x
  3. Step 3: Cross multiply
    12,278.65x = 18,418.10 × 6,728.97
  4. Step 4: Simplify right side
    12,278.65x = 123,934,842.36
  5. Step 5: Solve for x
    x = 123,934,842.36/12,278.65
  6. Step 6: Final answer
    x = 10,093.52

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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.