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Finding the Fourth Proportional to 20,806.24, 31,202.82 and 6,952

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Solution

The fourth proportional to 20,806.24, 31,202.82 and 6,952 is: 10,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.24 : 31,202.82 = 6,952 : x
  2. Step 2: Convert to fraction form
    20,806.24/31,202.82 = 6,952/x
  3. Step 3: Cross multiply
    20,806.24x = 31,202.82 × 6,952
  4. Step 4: Simplify right side
    20,806.24x = 216,922,004.64
  5. Step 5: Solve for x
    x = 216,922,004.64/20,806.24
  6. Step 6: Final answer
    x = 10,425.81

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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.