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Finding the Fourth Proportional to 13,683.14, 20,524.72 and 3,294.90

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Solution

The fourth proportional to 13,683.14, 20,524.72 and 3,294.90 is: 4,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.14 : 20,524.72 = 3,294.90 : x
  2. Step 2: Convert to fraction form
    13,683.14/20,524.72 = 3,294.90/x
  3. Step 3: Cross multiply
    13,683.14x = 20,524.72 × 3,294.90
  4. Step 4: Simplify right side
    13,683.14x = 67,626,899.93
  5. Step 5: Solve for x
    x = 67,626,899.93/13,683.14
  6. Step 6: Final answer
    x = 4,942.35

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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.