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Finding the Fourth Proportional to 27,673.24, 41,512.83 and 7,682.82

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Solution

The fourth proportional to 27,673.24, 41,512.83 and 7,682.82 is: 11,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.24 : 41,512.83 = 7,682.82 : x
  2. Step 2: Convert to fraction form
    27,673.24/41,512.83 = 7,682.82/x
  3. Step 3: Cross multiply
    27,673.24x = 41,512.83 × 7,682.82
  4. Step 4: Simplify right side
    27,673.24x = 318,935,600.58
  5. Step 5: Solve for x
    x = 318,935,600.58/27,673.24
  6. Step 6: Final answer
    x = 11,525.05

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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.