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Finding the Fourth Proportional to 20,296.44, 30,417.12 and 7,804.62

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Solution

The fourth proportional to 20,296.44, 30,417.12 and 7,804.62 is: 11,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.44 : 30,417.12 = 7,804.62 : x
  2. Step 2: Convert to fraction form
    20,296.44/30,417.12 = 7,804.62/x
  3. Step 3: Cross multiply
    20,296.44x = 30,417.12 × 7,804.62
  4. Step 4: Simplify right side
    20,296.44x = 237,394,063.09
  5. Step 5: Solve for x
    x = 237,394,063.09/20,296.44
  6. Step 6: Final answer
    x = 11,696.34

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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.