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Finding the Fourth Proportional to 13,709.26, 20,466.50 and 13,223.26

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Solution

The fourth proportional to 13,709.26, 20,466.50 and 13,223.26 is: 19,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.26 : 20,466.50 = 13,223.26 : x
  2. Step 2: Convert to fraction form
    13,709.26/20,466.50 = 13,223.26/x
  3. Step 3: Cross multiply
    13,709.26x = 20,466.50 × 13,223.26
  4. Step 4: Simplify right side
    13,709.26x = 270,633,850.79
  5. Step 5: Solve for x
    x = 270,633,850.79/13,709.26
  6. Step 6: Final answer
    x = 19,740.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.