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Finding the Fourth Proportional to 20,644.30, 30,961.78 and 9,544.94

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Solution

The fourth proportional to 20,644.30, 30,961.78 and 9,544.94 is: 14,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.30 : 30,961.78 = 9,544.94 : x
  2. Step 2: Convert to fraction form
    20,644.30/30,961.78 = 9,544.94/x
  3. Step 3: Cross multiply
    20,644.30x = 30,961.78 × 9,544.94
  4. Step 4: Simplify right side
    20,644.30x = 295,528,269.83
  5. Step 5: Solve for x
    x = 295,528,269.83/20,644.30
  6. Step 6: Final answer
    x = 14,315.25

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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.