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Finding the Fourth Proportional to 13,604.43, 18,775.70 and 8,226.23

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Solution

The fourth proportional to 13,604.43, 18,775.70 and 8,226.23 is: 11,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.43 : 18,775.70 = 8,226.23 : x
  2. Step 2: Convert to fraction form
    13,604.43/18,775.70 = 8,226.23/x
  3. Step 3: Cross multiply
    13,604.43x = 18,775.70 × 8,226.23
  4. Step 4: Simplify right side
    13,604.43x = 154,453,280.87
  5. Step 5: Solve for x
    x = 154,453,280.87/13,604.43
  6. Step 6: Final answer
    x = 11,353.16

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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.