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Finding the Fourth Proportional to 20,250.40, 30,380.34 and 10,230.16

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Solution

The fourth proportional to 20,250.40, 30,380.34 and 10,230.16 is: 15,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,250.40 : 30,380.34 = 10,230.16 : x
  2. Step 2: Convert to fraction form
    20,250.40/30,380.34 = 10,230.16/x
  3. Step 3: Cross multiply
    20,250.40x = 30,380.34 × 10,230.16
  4. Step 4: Simplify right side
    20,250.40x = 310,795,739.05
  5. Step 5: Solve for x
    x = 310,795,739.05/20,250.40
  6. Step 6: Final answer
    x = 15,347.63

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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.