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Finding the Fourth Proportional to 23,241.30, 34,861.64 and 5,710.97

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Solution

The fourth proportional to 23,241.30, 34,861.64 and 5,710.97 is: 8,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.30 : 34,861.64 = 5,710.97 : x
  2. Step 2: Convert to fraction form
    23,241.30/34,861.64 = 5,710.97/x
  3. Step 3: Cross multiply
    23,241.30x = 34,861.64 × 5,710.97
  4. Step 4: Simplify right side
    23,241.30x = 199,093,577.33
  5. Step 5: Solve for x
    x = 199,093,577.33/23,241.30
  6. Step 6: Final answer
    x = 8,566.37

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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.