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Finding the Fourth Proportional to 21,193.80, 31,780.44 and 6,399.96

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Solution

The fourth proportional to 21,193.80, 31,780.44 and 6,399.96 is: 9,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.80 : 31,780.44 = 6,399.96 : x
  2. Step 2: Convert to fraction form
    21,193.80/31,780.44 = 6,399.96/x
  3. Step 3: Cross multiply
    21,193.80x = 31,780.44 × 6,399.96
  4. Step 4: Simplify right side
    21,193.80x = 203,393,544.78
  5. Step 5: Solve for x
    x = 203,393,544.78/21,193.80
  6. Step 6: Final answer
    x = 9,596.84

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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.