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Finding the Fourth Proportional to 20,996.56, 31,476 and 19,170.41

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Solution

The fourth proportional to 20,996.56, 31,476 and 19,170.41 is: 28,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.56 : 31,476 = 19,170.41 : x
  2. Step 2: Convert to fraction form
    20,996.56/31,476 = 19,170.41/x
  3. Step 3: Cross multiply
    20,996.56x = 31,476 × 19,170.41
  4. Step 4: Simplify right side
    20,996.56x = 603,407,825.16
  5. Step 5: Solve for x
    x = 603,407,825.16/20,996.56
  6. Step 6: Final answer
    x = 28,738.41

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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.