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Finding the Fourth Proportional to 25,906.56, 38,850.30 and 9,262.08

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Solution

The fourth proportional to 25,906.56, 38,850.30 and 9,262.08 is: 13,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.56 : 38,850.30 = 9,262.08 : x
  2. Step 2: Convert to fraction form
    25,906.56/38,850.30 = 9,262.08/x
  3. Step 3: Cross multiply
    25,906.56x = 38,850.30 × 9,262.08
  4. Step 4: Simplify right side
    25,906.56x = 359,834,586.62
  5. Step 5: Solve for x
    x = 359,834,586.62/25,906.56
  6. Step 6: Final answer
    x = 13,889.71

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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.