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Finding the Fourth Proportional to 12,180.65, 18,229.66 and 7,736.18

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Solution

The fourth proportional to 12,180.65, 18,229.66 and 7,736.18 is: 11,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.65 : 18,229.66 = 7,736.18 : x
  2. Step 2: Convert to fraction form
    12,180.65/18,229.66 = 7,736.18/x
  3. Step 3: Cross multiply
    12,180.65x = 18,229.66 × 7,736.18
  4. Step 4: Simplify right side
    12,180.65x = 141,027,820.61
  5. Step 5: Solve for x
    x = 141,027,820.61/12,180.65
  6. Step 6: Final answer
    x = 11,578.03

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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.