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Finding the Fourth Proportional to 20,512.40, 30,768.56 and 14,680.40

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Solution

The fourth proportional to 20,512.40, 30,768.56 and 14,680.40 is: 22,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.40 : 30,768.56 = 14,680.40 : x
  2. Step 2: Convert to fraction form
    20,512.40/30,768.56 = 14,680.40/x
  3. Step 3: Cross multiply
    20,512.40x = 30,768.56 × 14,680.40
  4. Step 4: Simplify right side
    20,512.40x = 451,694,768.22
  5. Step 5: Solve for x
    x = 451,694,768.22/20,512.40
  6. Step 6: Final answer
    x = 22,020.57

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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.