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Finding the Fourth Proportional to 13,796.02, 20,690.36 and 6,003

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Solution

The fourth proportional to 13,796.02, 20,690.36 and 6,003 is: 9,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.02 : 20,690.36 = 6,003 : x
  2. Step 2: Convert to fraction form
    13,796.02/20,690.36 = 6,003/x
  3. Step 3: Cross multiply
    13,796.02x = 20,690.36 × 6,003
  4. Step 4: Simplify right side
    13,796.02x = 124,204,231.08
  5. Step 5: Solve for x
    x = 124,204,231.08/13,796.02
  6. Step 6: Final answer
    x = 9,002.90

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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.