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Finding the Fourth Proportional to 20,768.34, 31,157.49 and 6,728.40

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Solution

The fourth proportional to 20,768.34, 31,157.49 and 6,728.40 is: 10,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.34 : 31,157.49 = 6,728.40 : x
  2. Step 2: Convert to fraction form
    20,768.34/31,157.49 = 6,728.40/x
  3. Step 3: Cross multiply
    20,768.34x = 31,157.49 × 6,728.40
  4. Step 4: Simplify right side
    20,768.34x = 209,640,055.72
  5. Step 5: Solve for x
    x = 209,640,055.72/20,768.34
  6. Step 6: Final answer
    x = 10,094.21

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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.