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Finding the Fourth Proportional to 20,634.65, 30,960.17 and 9,546.56

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Solution

The fourth proportional to 20,634.65, 30,960.17 and 9,546.56 is: 14,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.65 : 30,960.17 = 9,546.56 : x
  2. Step 2: Convert to fraction form
    20,634.65/30,960.17 = 9,546.56/x
  3. Step 3: Cross multiply
    20,634.65x = 30,960.17 × 9,546.56
  4. Step 4: Simplify right side
    20,634.65x = 295,563,123.58
  5. Step 5: Solve for x
    x = 295,563,123.58/20,634.65
  6. Step 6: Final answer
    x = 14,323.63

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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.