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Finding the Fourth Proportional to 20,421.52, 30,634.26 and 7,942.54

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Solution

The fourth proportional to 20,421.52, 30,634.26 and 7,942.54 is: 11,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421.52 : 30,634.26 = 7,942.54 : x
  2. Step 2: Convert to fraction form
    20,421.52/30,634.26 = 7,942.54/x
  3. Step 3: Cross multiply
    20,421.52x = 30,634.26 × 7,942.54
  4. Step 4: Simplify right side
    20,421.52x = 243,313,835.42
  5. Step 5: Solve for x
    x = 243,313,835.42/20,421.52
  6. Step 6: Final answer
    x = 11,914.58

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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.