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Finding the Fourth Proportional to 18,461.81, 27,627.10 and 13,519.19

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Solution

The fourth proportional to 18,461.81, 27,627.10 and 13,519.19 is: 20,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.81 : 27,627.10 = 13,519.19 : x
  2. Step 2: Convert to fraction form
    18,461.81/27,627.10 = 13,519.19/x
  3. Step 3: Cross multiply
    18,461.81x = 27,627.10 × 13,519.19
  4. Step 4: Simplify right side
    18,461.81x = 373,496,014.05
  5. Step 5: Solve for x
    x = 373,496,014.05/18,461.81
  6. Step 6: Final answer
    x = 20,230.74

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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.