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Finding the Fourth Proportional to 18,922.96, 28,387.78 and 7,823.43

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Solution

The fourth proportional to 18,922.96, 28,387.78 and 7,823.43 is: 11,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.96 : 28,387.78 = 7,823.43 : x
  2. Step 2: Convert to fraction form
    18,922.96/28,387.78 = 7,823.43/x
  3. Step 3: Cross multiply
    18,922.96x = 28,387.78 × 7,823.43
  4. Step 4: Simplify right side
    18,922.96x = 222,089,809.69
  5. Step 5: Solve for x
    x = 222,089,809.69/18,922.96
  6. Step 6: Final answer
    x = 11,736.53

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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.