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Finding the Fourth Proportional to 26,450.96, 39,682.31 and 7,732.67

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Solution

The fourth proportional to 26,450.96, 39,682.31 and 7,732.67 is: 11,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450.96 : 39,682.31 = 7,732.67 : x
  2. Step 2: Convert to fraction form
    26,450.96/39,682.31 = 7,732.67/x
  3. Step 3: Cross multiply
    26,450.96x = 39,682.31 × 7,732.67
  4. Step 4: Simplify right side
    26,450.96x = 306,849,970.99
  5. Step 5: Solve for x
    x = 306,849,970.99/26,450.96
  6. Step 6: Final answer
    x = 11,600.71

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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.