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Finding the Fourth Proportional to 13,811.99, 20,738.76 and 8,290.05

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Solution

The fourth proportional to 13,811.99, 20,738.76 and 8,290.05 is: 12,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.99 : 20,738.76 = 8,290.05 : x
  2. Step 2: Convert to fraction form
    13,811.99/20,738.76 = 8,290.05/x
  3. Step 3: Cross multiply
    13,811.99x = 20,738.76 × 8,290.05
  4. Step 4: Simplify right side
    13,811.99x = 171,925,271.80
  5. Step 5: Solve for x
    x = 171,925,271.80/13,811.99
  6. Step 6: Final answer
    x = 12,447.54

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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.