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Finding the Fourth Proportional to 11,633.31, 17,449.97 and 2,868.23

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Solution

The fourth proportional to 11,633.31, 17,449.97 and 2,868.23 is: 4,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.31 : 17,449.97 = 2,868.23 : x
  2. Step 2: Convert to fraction form
    11,633.31/17,449.97 = 2,868.23/x
  3. Step 3: Cross multiply
    11,633.31x = 17,449.97 × 2,868.23
  4. Step 4: Simplify right side
    11,633.31x = 50,050,425.86
  5. Step 5: Solve for x
    x = 50,050,425.86/11,633.31
  6. Step 6: Final answer
    x = 4,302.34

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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.