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Finding the Fourth Proportional to 17,674.88, 24,383.16 and 11,299.80

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Solution

The fourth proportional to 17,674.88, 24,383.16 and 11,299.80 is: 15,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.88 : 24,383.16 = 11,299.80 : x
  2. Step 2: Convert to fraction form
    17,674.88/24,383.16 = 11,299.80/x
  3. Step 3: Cross multiply
    17,674.88x = 24,383.16 × 11,299.80
  4. Step 4: Simplify right side
    17,674.88x = 275,524,831.37
  5. Step 5: Solve for x
    x = 275,524,831.37/17,674.88
  6. Step 6: Final answer
    x = 15,588.50

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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.