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Finding the Fourth Proportional to 13,683.89, 20,525.82 and 4,449.89

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Solution

The fourth proportional to 13,683.89, 20,525.82 and 4,449.89 is: 6,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.89 : 20,525.82 = 4,449.89 : x
  2. Step 2: Convert to fraction form
    13,683.89/20,525.82 = 4,449.89/x
  3. Step 3: Cross multiply
    13,683.89x = 20,525.82 × 4,449.89
  4. Step 4: Simplify right side
    13,683.89x = 91,337,641.16
  5. Step 5: Solve for x
    x = 91,337,641.16/13,683.89
  6. Step 6: Final answer
    x = 6,674.83

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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.