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Finding the Fourth Proportional to 13,995.36, 20,993.81 and 5,674.14

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Solution

The fourth proportional to 13,995.36, 20,993.81 and 5,674.14 is: 8,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.36 : 20,993.81 = 5,674.14 : x
  2. Step 2: Convert to fraction form
    13,995.36/20,993.81 = 5,674.14/x
  3. Step 3: Cross multiply
    13,995.36x = 20,993.81 × 5,674.14
  4. Step 4: Simplify right side
    13,995.36x = 119,121,788.70
  5. Step 5: Solve for x
    x = 119,121,788.70/13,995.36
  6. Step 6: Final answer
    x = 8,511.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.