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Finding the Fourth Proportional to 13,647.96, 20,439.10 and 9,252.09

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Solution

The fourth proportional to 13,647.96, 20,439.10 and 9,252.09 is: 13,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.96 : 20,439.10 = 9,252.09 : x
  2. Step 2: Convert to fraction form
    13,647.96/20,439.10 = 9,252.09/x
  3. Step 3: Cross multiply
    13,647.96x = 20,439.10 × 9,252.09
  4. Step 4: Simplify right side
    13,647.96x = 189,104,392.72
  5. Step 5: Solve for x
    x = 189,104,392.72/13,647.96
  6. Step 6: Final answer
    x = 13,855.87

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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.