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Finding the Fourth Proportional to 25,286.56, 37,906.62 and 9,701.08

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Solution

The fourth proportional to 25,286.56, 37,906.62 and 9,701.08 is: 14,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286.56 : 37,906.62 = 9,701.08 : x
  2. Step 2: Convert to fraction form
    25,286.56/37,906.62 = 9,701.08/x
  3. Step 3: Cross multiply
    25,286.56x = 37,906.62 × 9,701.08
  4. Step 4: Simplify right side
    25,286.56x = 367,735,153.15
  5. Step 5: Solve for x
    x = 367,735,153.15/25,286.56
  6. Step 6: Final answer
    x = 14,542.71

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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.