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Finding the Fourth Proportional to 27,407.28, 41,114.81 and 8,433.49

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Solution

The fourth proportional to 27,407.28, 41,114.81 and 8,433.49 is: 12,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.28 : 41,114.81 = 8,433.49 : x
  2. Step 2: Convert to fraction form
    27,407.28/41,114.81 = 8,433.49/x
  3. Step 3: Cross multiply
    27,407.28x = 41,114.81 × 8,433.49
  4. Step 4: Simplify right side
    27,407.28x = 346,741,151.66
  5. Step 5: Solve for x
    x = 346,741,151.66/27,407.28
  6. Step 6: Final answer
    x = 12,651.43

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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.