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Finding the Fourth Proportional to 17,986.34, 24,814.13 and 11,611.23

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Solution

The fourth proportional to 17,986.34, 24,814.13 and 11,611.23 is: 16,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986.34 : 24,814.13 = 11,611.23 : x
  2. Step 2: Convert to fraction form
    17,986.34/24,814.13 = 11,611.23/x
  3. Step 3: Cross multiply
    17,986.34x = 24,814.13 × 11,611.23
  4. Step 4: Simplify right side
    17,986.34x = 288,122,512.62
  5. Step 5: Solve for x
    x = 288,122,512.62/17,986.34
  6. Step 6: Final answer
    x = 16,018.97

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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.