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Finding the Fourth Proportional to 25,806.26, 38,709.44 and 7,086.54

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Solution

The fourth proportional to 25,806.26, 38,709.44 and 7,086.54 is: 10,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.26 : 38,709.44 = 7,086.54 : x
  2. Step 2: Convert to fraction form
    25,806.26/38,709.44 = 7,086.54/x
  3. Step 3: Cross multiply
    25,806.26x = 38,709.44 × 7,086.54
  4. Step 4: Simplify right side
    25,806.26x = 274,315,994.94
  5. Step 5: Solve for x
    x = 274,315,994.94/25,806.26
  6. Step 6: Final answer
    x = 10,629.82

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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.