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Finding the Fourth Proportional to 13,757.85, 20,643.81 and 6,553.16

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Solution

The fourth proportional to 13,757.85, 20,643.81 and 6,553.16 is: 9,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.85 : 20,643.81 = 6,553.16 : x
  2. Step 2: Convert to fraction form
    13,757.85/20,643.81 = 6,553.16/x
  3. Step 3: Cross multiply
    13,757.85x = 20,643.81 × 6,553.16
  4. Step 4: Simplify right side
    13,757.85x = 135,282,189.94
  5. Step 5: Solve for x
    x = 135,282,189.94/13,757.85
  6. Step 6: Final answer
    x = 9,833.09

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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.