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Finding the Fourth Proportional to 19,770.26, 29,651.97 and 9,241.23

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Solution

The fourth proportional to 19,770.26, 29,651.97 and 9,241.23 is: 13,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.26 : 29,651.97 = 9,241.23 : x
  2. Step 2: Convert to fraction form
    19,770.26/29,651.97 = 9,241.23/x
  3. Step 3: Cross multiply
    19,770.26x = 29,651.97 × 9,241.23
  4. Step 4: Simplify right side
    19,770.26x = 274,020,674.72
  5. Step 5: Solve for x
    x = 274,020,674.72/19,770.26
  6. Step 6: Final answer
    x = 13,860.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.