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Finding the Fourth Proportional to 18,297.86, 27,441.26 and 7,767.66

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Solution

The fourth proportional to 18,297.86, 27,441.26 and 7,767.66 is: 11,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,297.86 : 27,441.26 = 7,767.66 : x
  2. Step 2: Convert to fraction form
    18,297.86/27,441.26 = 7,767.66/x
  3. Step 3: Cross multiply
    18,297.86x = 27,441.26 × 7,767.66
  4. Step 4: Simplify right side
    18,297.86x = 213,154,377.65
  5. Step 5: Solve for x
    x = 213,154,377.65/18,297.86
  6. Step 6: Final answer
    x = 11,649.14

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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.