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Finding the Fourth Proportional to 13,993.77, 19,311.06 and 8,025.05

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Solution

The fourth proportional to 13,993.77, 19,311.06 and 8,025.05 is: 11,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.77 : 19,311.06 = 8,025.05 : x
  2. Step 2: Convert to fraction form
    13,993.77/19,311.06 = 8,025.05/x
  3. Step 3: Cross multiply
    13,993.77x = 19,311.06 × 8,025.05
  4. Step 4: Simplify right side
    13,993.77x = 154,972,250.57
  5. Step 5: Solve for x
    x = 154,972,250.57/13,993.77
  6. Step 6: Final answer
    x = 11,074.38

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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.