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Finding the Fourth Proportional to 20,969.37, 31,455.11 and 6,930.66

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Solution

The fourth proportional to 20,969.37, 31,455.11 and 6,930.66 is: 10,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.37 : 31,455.11 = 6,930.66 : x
  2. Step 2: Convert to fraction form
    20,969.37/31,455.11 = 6,930.66/x
  3. Step 3: Cross multiply
    20,969.37x = 31,455.11 × 6,930.66
  4. Step 4: Simplify right side
    20,969.37x = 218,004,672.67
  5. Step 5: Solve for x
    x = 218,004,672.67/20,969.37
  6. Step 6: Final answer
    x = 10,396.34

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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.