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Finding the Fourth Proportional to 21,241.80, 31,861.87 and 6,450.12

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Solution

The fourth proportional to 21,241.80, 31,861.87 and 6,450.12 is: 9,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.80 : 31,861.87 = 6,450.12 : x
  2. Step 2: Convert to fraction form
    21,241.80/31,861.87 = 6,450.12/x
  3. Step 3: Cross multiply
    21,241.80x = 31,861.87 × 6,450.12
  4. Step 4: Simplify right side
    21,241.80x = 205,512,884.92
  5. Step 5: Solve for x
    x = 205,512,884.92/21,241.80
  6. Step 6: Final answer
    x = 9,674.93

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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.