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Finding the Fourth Proportional to 25,850.34, 38,717.73 and 22,475.34

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Solution

The fourth proportional to 25,850.34, 38,717.73 and 22,475.34 is: 33,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.34 : 38,717.73 = 22,475.34 : x
  2. Step 2: Convert to fraction form
    25,850.34/38,717.73 = 22,475.34/x
  3. Step 3: Cross multiply
    25,850.34x = 38,717.73 × 22,475.34
  4. Step 4: Simplify right side
    25,850.34x = 870,194,145.78
  5. Step 5: Solve for x
    x = 870,194,145.78/25,850.34
  6. Step 6: Final answer
    x = 33,662.77

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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.