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Finding the Fourth Proportional to 13,594.57, 18,704.33 and 11,019.38

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Solution

The fourth proportional to 13,594.57, 18,704.33 and 11,019.38 is: 15,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.57 : 18,704.33 = 11,019.38 : x
  2. Step 2: Convert to fraction form
    13,594.57/18,704.33 = 11,019.38/x
  3. Step 3: Cross multiply
    13,594.57x = 18,704.33 × 11,019.38
  4. Step 4: Simplify right side
    13,594.57x = 206,110,119.92
  5. Step 5: Solve for x
    x = 206,110,119.92/13,594.57
  6. Step 6: Final answer
    x = 15,161.21

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Why These Related Problems?

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