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Finding the Fourth Proportional to 20,194.96, 30,283.80 and 7,043.44

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Solution

The fourth proportional to 20,194.96, 30,283.80 and 7,043.44 is: 10,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.96 : 30,283.80 = 7,043.44 : x
  2. Step 2: Convert to fraction form
    20,194.96/30,283.80 = 7,043.44/x
  3. Step 3: Cross multiply
    20,194.96x = 30,283.80 × 7,043.44
  4. Step 4: Simplify right side
    20,194.96x = 213,302,128.27
  5. Step 5: Solve for x
    x = 213,302,128.27/20,194.96
  6. Step 6: Final answer
    x = 10,562.15

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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.