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Finding the Fourth Proportional to 20,128.40, 30,197.82 and 7,648.64

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Solution

The fourth proportional to 20,128.40, 30,197.82 and 7,648.64 is: 11,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.40 : 30,197.82 = 7,648.64 : x
  2. Step 2: Convert to fraction form
    20,128.40/30,197.82 = 7,648.64/x
  3. Step 3: Cross multiply
    20,128.40x = 30,197.82 × 7,648.64
  4. Step 4: Simplify right side
    20,128.40x = 230,972,253.96
  5. Step 5: Solve for x
    x = 230,972,253.96/20,128.40
  6. Step 6: Final answer
    x = 11,474.94

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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.