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Finding the Fourth Proportional to 20,132.37, 30,194.37 and 10,134.36

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Solution

The fourth proportional to 20,132.37, 30,194.37 and 10,134.36 is: 15,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.37 : 30,194.37 = 10,134.36 : x
  2. Step 2: Convert to fraction form
    20,132.37/30,194.37 = 10,134.36/x
  3. Step 3: Cross multiply
    20,132.37x = 30,194.37 × 10,134.36
  4. Step 4: Simplify right side
    20,132.37x = 306,000,615.55
  5. Step 5: Solve for x
    x = 306,000,615.55/20,132.37
  6. Step 6: Final answer
    x = 15,199.43

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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.