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Finding the Fourth Proportional to 20,512.37, 30,768.52 and 8,023.64

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Solution

The fourth proportional to 20,512.37, 30,768.52 and 8,023.64 is: 12,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.37 : 30,768.52 = 8,023.64 : x
  2. Step 2: Convert to fraction form
    20,512.37/30,768.52 = 8,023.64/x
  3. Step 3: Cross multiply
    20,512.37x = 30,768.52 × 8,023.64
  4. Step 4: Simplify right side
    20,512.37x = 246,875,527.81
  5. Step 5: Solve for x
    x = 246,875,527.81/20,512.37
  6. Step 6: Final answer
    x = 12,035.45

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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.