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Finding the Fourth Proportional to 13,993.36, 19,310.80 and 7,619.85

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Solution

The fourth proportional to 13,993.36, 19,310.80 and 7,619.85 is: 10,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.36 : 19,310.80 = 7,619.85 : x
  2. Step 2: Convert to fraction form
    13,993.36/19,310.80 = 7,619.85/x
  3. Step 3: Cross multiply
    13,993.36x = 19,310.80 × 7,619.85
  4. Step 4: Simplify right side
    13,993.36x = 147,145,399.38
  5. Step 5: Solve for x
    x = 147,145,399.38/13,993.36
  6. Step 6: Final answer
    x = 10,515.37

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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.