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Finding the Fourth Proportional to 20,797.68, 31,186.44 and 6,942

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Solution

The fourth proportional to 20,797.68, 31,186.44 and 6,942 is: 10,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.68 : 31,186.44 = 6,942 : x
  2. Step 2: Convert to fraction form
    20,797.68/31,186.44 = 6,942/x
  3. Step 3: Cross multiply
    20,797.68x = 31,186.44 × 6,942
  4. Step 4: Simplify right side
    20,797.68x = 216,496,266.48
  5. Step 5: Solve for x
    x = 216,496,266.48/20,797.68
  6. Step 6: Final answer
    x = 10,409.64

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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.