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Finding the Fourth Proportional to 14,487.98, 19,993.77 and 8,114.52

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Solution

The fourth proportional to 14,487.98, 19,993.77 and 8,114.52 is: 11,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.98 : 19,993.77 = 8,114.52 : x
  2. Step 2: Convert to fraction form
    14,487.98/19,993.77 = 8,114.52/x
  3. Step 3: Cross multiply
    14,487.98x = 19,993.77 × 8,114.52
  4. Step 4: Simplify right side
    14,487.98x = 162,239,846.54
  5. Step 5: Solve for x
    x = 162,239,846.54/14,487.98
  6. Step 6: Final answer
    x = 11,198.24

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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.