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Finding the Fourth Proportional to 25,697.52, 38,546.24 and 7,229.52

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Solution

The fourth proportional to 25,697.52, 38,546.24 and 7,229.52 is: 10,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.52 : 38,546.24 = 7,229.52 : x
  2. Step 2: Convert to fraction form
    25,697.52/38,546.24 = 7,229.52/x
  3. Step 3: Cross multiply
    25,697.52x = 38,546.24 × 7,229.52
  4. Step 4: Simplify right side
    25,697.52x = 278,670,813.00
  5. Step 5: Solve for x
    x = 278,670,813.00/25,697.52
  6. Step 6: Final answer
    x = 10,844.27

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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.