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Finding the Fourth Proportional to 25,198.56, 37,797.93 and 7,668.33

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Solution

The fourth proportional to 25,198.56, 37,797.93 and 7,668.33 is: 11,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.56 : 37,797.93 = 7,668.33 : x
  2. Step 2: Convert to fraction form
    25,198.56/37,797.93 = 7,668.33/x
  3. Step 3: Cross multiply
    25,198.56x = 37,797.93 × 7,668.33
  4. Step 4: Simplify right side
    25,198.56x = 289,847,000.56
  5. Step 5: Solve for x
    x = 289,847,000.56/25,198.56
  6. Step 6: Final answer
    x = 11,502.52

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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.