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Finding the Fourth Proportional to 20,004.56, 29,995.24 and 6,853.44

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Solution

The fourth proportional to 20,004.56, 29,995.24 and 6,853.44 is: 10,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.56 : 29,995.24 = 6,853.44 : x
  2. Step 2: Convert to fraction form
    20,004.56/29,995.24 = 6,853.44/x
  3. Step 3: Cross multiply
    20,004.56x = 29,995.24 × 6,853.44
  4. Step 4: Simplify right side
    20,004.56x = 205,570,577.63
  5. Step 5: Solve for x
    x = 205,570,577.63/20,004.56
  6. Step 6: Final answer
    x = 10,276.19

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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.