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Finding the Fourth Proportional to 20,486.84, 30,728.16 and 6,446.96

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Solution

The fourth proportional to 20,486.84, 30,728.16 and 6,446.96 is: 9,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.84 : 30,728.16 = 6,446.96 : x
  2. Step 2: Convert to fraction form
    20,486.84/30,728.16 = 6,446.96/x
  3. Step 3: Cross multiply
    20,486.84x = 30,728.16 × 6,446.96
  4. Step 4: Simplify right side
    20,486.84x = 198,103,218.39
  5. Step 5: Solve for x
    x = 198,103,218.39/20,486.84
  6. Step 6: Final answer
    x = 9,669.78

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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.