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Finding the Fourth Proportional to 13,535.70, 20,255.49 and 8,269.08

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Solution

The fourth proportional to 13,535.70, 20,255.49 and 8,269.08 is: 12,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.70 : 20,255.49 = 8,269.08 : x
  2. Step 2: Convert to fraction form
    13,535.70/20,255.49 = 8,269.08/x
  3. Step 3: Cross multiply
    13,535.70x = 20,255.49 × 8,269.08
  4. Step 4: Simplify right side
    13,535.70x = 167,494,267.25
  5. Step 5: Solve for x
    x = 167,494,267.25/13,535.70
  6. Step 6: Final answer
    x = 12,374.26

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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.