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Finding the Fourth Proportional to 20,795.68, 31,183.44 and 6,940

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Solution

The fourth proportional to 20,795.68, 31,183.44 and 6,940 is: 10,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,795.68 : 31,183.44 = 6,940 : x
  2. Step 2: Convert to fraction form
    20,795.68/31,183.44 = 6,940/x
  3. Step 3: Cross multiply
    20,795.68x = 31,183.44 × 6,940
  4. Step 4: Simplify right side
    20,795.68x = 216,413,073.60
  5. Step 5: Solve for x
    x = 216,413,073.60/20,795.68
  6. Step 6: Final answer
    x = 10,406.64

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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.