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Finding the Fourth Proportional to 17,412.18, 24,014.91 and 11,449.97

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Solution

The fourth proportional to 17,412.18, 24,014.91 and 11,449.97 is: 15,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.18 : 24,014.91 = 11,449.97 : x
  2. Step 2: Convert to fraction form
    17,412.18/24,014.91 = 11,449.97/x
  3. Step 3: Cross multiply
    17,412.18x = 24,014.91 × 11,449.97
  4. Step 4: Simplify right side
    17,412.18x = 274,969,999.05
  5. Step 5: Solve for x
    x = 274,969,999.05/17,412.18
  6. Step 6: Final answer
    x = 15,791.82

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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.