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Finding the Fourth Proportional to 13,202.98, 19,805.50 and 3,843.12

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Solution

The fourth proportional to 13,202.98, 19,805.50 and 3,843.12 is: 5,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.98 : 19,805.50 = 3,843.12 : x
  2. Step 2: Convert to fraction form
    13,202.98/19,805.50 = 3,843.12/x
  3. Step 3: Cross multiply
    13,202.98x = 19,805.50 × 3,843.12
  4. Step 4: Simplify right side
    13,202.98x = 76,114,913.16
  5. Step 5: Solve for x
    x = 76,114,913.16/13,202.98
  6. Step 6: Final answer
    x = 5,764.98

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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.