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Finding the Fourth Proportional to 20,728.34, 31,091.74 and 5,937.24

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Solution

The fourth proportional to 20,728.34, 31,091.74 and 5,937.24 is: 8,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.34 : 31,091.74 = 5,937.24 : x
  2. Step 2: Convert to fraction form
    20,728.34/31,091.74 = 5,937.24/x
  3. Step 3: Cross multiply
    20,728.34x = 31,091.74 × 5,937.24
  4. Step 4: Simplify right side
    20,728.34x = 184,599,122.40
  5. Step 5: Solve for x
    x = 184,599,122.40/20,728.34
  6. Step 6: Final answer
    x = 8,905.64

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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.