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Finding the Fourth Proportional to 27,738.36, 41,613.69 and 8,015.42

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Solution

The fourth proportional to 27,738.36, 41,613.69 and 8,015.42 is: 12,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.36 : 41,613.69 = 8,015.42 : x
  2. Step 2: Convert to fraction form
    27,738.36/41,613.69 = 8,015.42/x
  3. Step 3: Cross multiply
    27,738.36x = 41,613.69 × 8,015.42
  4. Step 4: Simplify right side
    27,738.36x = 333,551,337.19
  5. Step 5: Solve for x
    x = 333,551,337.19/27,738.36
  6. Step 6: Final answer
    x = 12,024.91

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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.