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Finding the Fourth Proportional to 20,196.93, 30,296.51 and 6,157.42

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Solution

The fourth proportional to 20,196.93, 30,296.51 and 6,157.42 is: 9,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.93 : 30,296.51 = 6,157.42 : x
  2. Step 2: Convert to fraction form
    20,196.93/30,296.51 = 6,157.42/x
  3. Step 3: Cross multiply
    20,196.93x = 30,296.51 × 6,157.42
  4. Step 4: Simplify right side
    20,196.93x = 186,548,287.80
  5. Step 5: Solve for x
    x = 186,548,287.80/20,196.93
  6. Step 6: Final answer
    x = 9,236.47

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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.