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Finding the Fourth Proportional to 13,215.80, 19,796.10 and 6,201.80

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Solution

The fourth proportional to 13,215.80, 19,796.10 and 6,201.80 is: 9,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.80 : 19,796.10 = 6,201.80 : x
  2. Step 2: Convert to fraction form
    13,215.80/19,796.10 = 6,201.80/x
  3. Step 3: Cross multiply
    13,215.80x = 19,796.10 × 6,201.80
  4. Step 4: Simplify right side
    13,215.80x = 122,771,452.98
  5. Step 5: Solve for x
    x = 122,771,452.98/13,215.80
  6. Step 6: Final answer
    x = 9,289.75

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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.