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Finding the Fourth Proportional to 20,485.16, 30,728.34 and 8,004.68

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Solution

The fourth proportional to 20,485.16, 30,728.34 and 8,004.68 is: 12,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.16 : 30,728.34 = 8,004.68 : x
  2. Step 2: Convert to fraction form
    20,485.16/30,728.34 = 8,004.68/x
  3. Step 3: Cross multiply
    20,485.16x = 30,728.34 × 8,004.68
  4. Step 4: Simplify right side
    20,485.16x = 245,970,528.63
  5. Step 5: Solve for x
    x = 245,970,528.63/20,485.16
  6. Step 6: Final answer
    x = 12,007.25

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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.