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Finding the Fourth Proportional to 20,958.54, 31,442.22 and 6,166.23

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Solution

The fourth proportional to 20,958.54, 31,442.22 and 6,166.23 is: 9,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.54 : 31,442.22 = 6,166.23 : x
  2. Step 2: Convert to fraction form
    20,958.54/31,442.22 = 6,166.23/x
  3. Step 3: Cross multiply
    20,958.54x = 31,442.22 × 6,166.23
  4. Step 4: Simplify right side
    20,958.54x = 193,879,960.23
  5. Step 5: Solve for x
    x = 193,879,960.23/20,958.54
  6. Step 6: Final answer
    x = 9,250.64

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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.