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Finding the Fourth Proportional to 20,131.34, 30,142.94 and 13,090.41

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Solution

The fourth proportional to 20,131.34, 30,142.94 and 13,090.41 is: 19,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.34 : 30,142.94 = 13,090.41 : x
  2. Step 2: Convert to fraction form
    20,131.34/30,142.94 = 13,090.41/x
  3. Step 3: Cross multiply
    20,131.34x = 30,142.94 × 13,090.41
  4. Step 4: Simplify right side
    20,131.34x = 394,583,377.75
  5. Step 5: Solve for x
    x = 394,583,377.75/20,131.34
  6. Step 6: Final answer
    x = 19,600.46

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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.