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Finding the Fourth Proportional to 20,128.91, 30,197.48 and 7,646.58

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Solution

The fourth proportional to 20,128.91, 30,197.48 and 7,646.58 is: 11,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.91 : 30,197.48 = 7,646.58 : x
  2. Step 2: Convert to fraction form
    20,128.91/30,197.48 = 7,646.58/x
  3. Step 3: Cross multiply
    20,128.91x = 30,197.48 × 7,646.58
  4. Step 4: Simplify right side
    20,128.91x = 230,907,408.39
  5. Step 5: Solve for x
    x = 230,907,408.39/20,128.91
  6. Step 6: Final answer
    x = 11,471.43

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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.