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Finding the Fourth Proportional to 12,563.99, 17,334.75 and 8,090.33

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Solution

The fourth proportional to 12,563.99, 17,334.75 and 8,090.33 is: 11,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.99 : 17,334.75 = 8,090.33 : x
  2. Step 2: Convert to fraction form
    12,563.99/17,334.75 = 8,090.33/x
  3. Step 3: Cross multiply
    12,563.99x = 17,334.75 × 8,090.33
  4. Step 4: Simplify right side
    12,563.99x = 140,243,847.97
  5. Step 5: Solve for x
    x = 140,243,847.97/12,563.99
  6. Step 6: Final answer
    x = 11,162.37

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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.