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Finding the Fourth Proportional to 13,507.98, 20,257.89 and 3,647.37

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Solution

The fourth proportional to 13,507.98, 20,257.89 and 3,647.37 is: 5,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.98 : 20,257.89 = 3,647.37 : x
  2. Step 2: Convert to fraction form
    13,507.98/20,257.89 = 3,647.37/x
  3. Step 3: Cross multiply
    13,507.98x = 20,257.89 × 3,647.37
  4. Step 4: Simplify right side
    13,507.98x = 73,888,020.25
  5. Step 5: Solve for x
    x = 73,888,020.25/13,507.98
  6. Step 6: Final answer
    x = 5,469.95

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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.