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Finding the Fourth Proportional to 20,296.36, 30,438.06 and 6,442.12

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Solution

The fourth proportional to 20,296.36, 30,438.06 and 6,442.12 is: 9,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.36 : 30,438.06 = 6,442.12 : x
  2. Step 2: Convert to fraction form
    20,296.36/30,438.06 = 6,442.12/x
  3. Step 3: Cross multiply
    20,296.36x = 30,438.06 × 6,442.12
  4. Step 4: Simplify right side
    20,296.36x = 196,085,635.09
  5. Step 5: Solve for x
    x = 196,085,635.09/20,296.36
  6. Step 6: Final answer
    x = 9,661.12

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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.