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Finding the Fourth Proportional to 25,791.96, 38,695.50 and 10,806.24

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Solution

The fourth proportional to 25,791.96, 38,695.50 and 10,806.24 is: 16,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791.96 : 38,695.50 = 10,806.24 : x
  2. Step 2: Convert to fraction form
    25,791.96/38,695.50 = 10,806.24/x
  3. Step 3: Cross multiply
    25,791.96x = 38,695.50 × 10,806.24
  4. Step 4: Simplify right side
    25,791.96x = 418,152,859.92
  5. Step 5: Solve for x
    x = 418,152,859.92/25,791.96
  6. Step 6: Final answer
    x = 16,212.53

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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.