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Finding the Fourth Proportional to 13,811.40, 20,733.30 and 8,269.80

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Solution

The fourth proportional to 13,811.40, 20,733.30 and 8,269.80 is: 12,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.40 : 20,733.30 = 8,269.80 : x
  2. Step 2: Convert to fraction form
    13,811.40/20,733.30 = 8,269.80/x
  3. Step 3: Cross multiply
    13,811.40x = 20,733.30 × 8,269.80
  4. Step 4: Simplify right side
    13,811.40x = 171,460,244.34
  5. Step 5: Solve for x
    x = 171,460,244.34/13,811.40
  6. Step 6: Final answer
    x = 12,414.40

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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.