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Finding the Fourth Proportional to 14,198.45, 19,593.99 and 7,825.27

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Solution

The fourth proportional to 14,198.45, 19,593.99 and 7,825.27 is: 10,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.45 : 19,593.99 = 7,825.27 : x
  2. Step 2: Convert to fraction form
    14,198.45/19,593.99 = 7,825.27/x
  3. Step 3: Cross multiply
    14,198.45x = 19,593.99 × 7,825.27
  4. Step 4: Simplify right side
    14,198.45x = 153,328,213.14
  5. Step 5: Solve for x
    x = 153,328,213.14/14,198.45
  6. Step 6: Final answer
    x = 10,798.94

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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.