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Finding the Fourth Proportional to 17,811.26, 24,590.74 and 11,440.42

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Solution

The fourth proportional to 17,811.26, 24,590.74 and 11,440.42 is: 15,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.26 : 24,590.74 = 11,440.42 : x
  2. Step 2: Convert to fraction form
    17,811.26/24,590.74 = 11,440.42/x
  3. Step 3: Cross multiply
    17,811.26x = 24,590.74 × 11,440.42
  4. Step 4: Simplify right side
    17,811.26x = 281,328,393.71
  5. Step 5: Solve for x
    x = 281,328,393.71/17,811.26
  6. Step 6: Final answer
    x = 15,794.97

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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.