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Finding the Fourth Proportional to 27,919.24, 41,878.86 and 8,197.66

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Solution

The fourth proportional to 27,919.24, 41,878.86 and 8,197.66 is: 12,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,919.24 : 41,878.86 = 8,197.66 : x
  2. Step 2: Convert to fraction form
    27,919.24/41,878.86 = 8,197.66/x
  3. Step 3: Cross multiply
    27,919.24x = 41,878.86 × 8,197.66
  4. Step 4: Simplify right side
    27,919.24x = 343,308,655.47
  5. Step 5: Solve for x
    x = 343,308,655.47/27,919.24
  6. Step 6: Final answer
    x = 12,296.49

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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.