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Finding the Fourth Proportional to 13,500.41, 18,622.80 and 8,119.13

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Solution

The fourth proportional to 13,500.41, 18,622.80 and 8,119.13 is: 11,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.41 : 18,622.80 = 8,119.13 : x
  2. Step 2: Convert to fraction form
    13,500.41/18,622.80 = 8,119.13/x
  3. Step 3: Cross multiply
    13,500.41x = 18,622.80 × 8,119.13
  4. Step 4: Simplify right side
    13,500.41x = 151,200,841.05
  5. Step 5: Solve for x
    x = 151,200,841.05/13,500.41
  6. Step 6: Final answer
    x = 11,199.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.