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Finding the Fourth Proportional to 17,805.20, 24,571.02 and 9,847.34

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Solution

The fourth proportional to 17,805.20, 24,571.02 and 9,847.34 is: 13,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.20 : 24,571.02 = 9,847.34 : x
  2. Step 2: Convert to fraction form
    17,805.20/24,571.02 = 9,847.34/x
  3. Step 3: Cross multiply
    17,805.20x = 24,571.02 × 9,847.34
  4. Step 4: Simplify right side
    17,805.20x = 241,959,188.09
  5. Step 5: Solve for x
    x = 241,959,188.09/17,805.20
  6. Step 6: Final answer
    x = 13,589.24

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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.