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Finding the Fourth Proportional to 13,201.75, 18,226.70 and 8,494.21

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Solution

The fourth proportional to 13,201.75, 18,226.70 and 8,494.21 is: 11,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.75 : 18,226.70 = 8,494.21 : x
  2. Step 2: Convert to fraction form
    13,201.75/18,226.70 = 8,494.21/x
  3. Step 3: Cross multiply
    13,201.75x = 18,226.70 × 8,494.21
  4. Step 4: Simplify right side
    13,201.75x = 154,821,417.41
  5. Step 5: Solve for x
    x = 154,821,417.41/13,201.75
  6. Step 6: Final answer
    x = 11,727.34

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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.