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Finding the Fourth Proportional to 20,644.64, 30,970.44 and 9,546.80

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Solution

The fourth proportional to 20,644.64, 30,970.44 and 9,546.80 is: 14,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.64 : 30,970.44 = 9,546.80 : x
  2. Step 2: Convert to fraction form
    20,644.64/30,970.44 = 9,546.80/x
  3. Step 3: Cross multiply
    20,644.64x = 30,970.44 × 9,546.80
  4. Step 4: Simplify right side
    20,644.64x = 295,668,596.59
  5. Step 5: Solve for x
    x = 295,668,596.59/20,644.64
  6. Step 6: Final answer
    x = 14,321.81

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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.