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Finding the Fourth Proportional to 11,723.84, 17,584.48 and 3,932.48

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Solution

The fourth proportional to 11,723.84, 17,584.48 and 3,932.48 is: 5,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.84 : 17,584.48 = 3,932.48 : x
  2. Step 2: Convert to fraction form
    11,723.84/17,584.48 = 3,932.48/x
  3. Step 3: Cross multiply
    11,723.84x = 17,584.48 × 3,932.48
  4. Step 4: Simplify right side
    11,723.84x = 69,150,615.91
  5. Step 5: Solve for x
    x = 69,150,615.91/11,723.84
  6. Step 6: Final answer
    x = 5,898.29

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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.