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Finding the Fourth Proportional to 23,586.46, 35,382.17 and 11,743.17

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Solution

The fourth proportional to 23,586.46, 35,382.17 and 11,743.17 is: 17,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.46 : 35,382.17 = 11,743.17 : x
  2. Step 2: Convert to fraction form
    23,586.46/35,382.17 = 11,743.17/x
  3. Step 3: Cross multiply
    23,586.46x = 35,382.17 × 11,743.17
  4. Step 4: Simplify right side
    23,586.46x = 415,498,778.56
  5. Step 5: Solve for x
    x = 415,498,778.56/23,586.46
  6. Step 6: Final answer
    x = 17,615.99

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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.