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Finding the Fourth Proportional to 25,194.32, 37,796.94 and 7,663.69

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Solution

The fourth proportional to 25,194.32, 37,796.94 and 7,663.69 is: 11,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.32 : 37,796.94 = 7,663.69 : x
  2. Step 2: Convert to fraction form
    25,194.32/37,796.94 = 7,663.69/x
  3. Step 3: Cross multiply
    25,194.32x = 37,796.94 × 7,663.69
  4. Step 4: Simplify right side
    25,194.32x = 289,664,021.85
  5. Step 5: Solve for x
    x = 289,664,021.85/25,194.32
  6. Step 6: Final answer
    x = 11,497.20

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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.