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Finding the Fourth Proportional to 13,198.74, 18,195.01 and 10,049.46

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Solution

The fourth proportional to 13,198.74, 18,195.01 and 10,049.46 is: 13,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.74 : 18,195.01 = 10,049.46 : x
  2. Step 2: Convert to fraction form
    13,198.74/18,195.01 = 10,049.46/x
  3. Step 3: Cross multiply
    13,198.74x = 18,195.01 × 10,049.46
  4. Step 4: Simplify right side
    13,198.74x = 182,850,025.19
  5. Step 5: Solve for x
    x = 182,850,025.19/13,198.74
  6. Step 6: Final answer
    x = 13,853.60

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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.