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Finding the Fourth Proportional to 20,642.27, 30,968.26 and 7,494.75

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Solution

The fourth proportional to 20,642.27, 30,968.26 and 7,494.75 is: 11,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.27 : 30,968.26 = 7,494.75 : x
  2. Step 2: Convert to fraction form
    20,642.27/30,968.26 = 7,494.75/x
  3. Step 3: Cross multiply
    20,642.27x = 30,968.26 × 7,494.75
  4. Step 4: Simplify right side
    20,642.27x = 232,099,347.90
  5. Step 5: Solve for x
    x = 232,099,347.90/20,642.27
  6. Step 6: Final answer
    x = 11,243.89

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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.