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Finding the Fourth Proportional to 27,729.82, 41,588.64 and 8,004.10

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Solution

The fourth proportional to 27,729.82, 41,588.64 and 8,004.10 is: 12,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729.82 : 41,588.64 = 8,004.10 : x
  2. Step 2: Convert to fraction form
    27,729.82/41,588.64 = 8,004.10/x
  3. Step 3: Cross multiply
    27,729.82x = 41,588.64 × 8,004.10
  4. Step 4: Simplify right side
    27,729.82x = 332,879,633.42
  5. Step 5: Solve for x
    x = 332,879,633.42/27,729.82
  6. Step 6: Final answer
    x = 12,004.39

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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.