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Finding the Fourth Proportional to 11,824.26, 17,709.54 and 9,170.46

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Solution

The fourth proportional to 11,824.26, 17,709.54 and 9,170.46 is: 13,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.26 : 17,709.54 = 9,170.46 : x
  2. Step 2: Convert to fraction form
    11,824.26/17,709.54 = 9,170.46/x
  3. Step 3: Cross multiply
    11,824.26x = 17,709.54 × 9,170.46
  4. Step 4: Simplify right side
    11,824.26x = 162,404,628.19
  5. Step 5: Solve for x
    x = 162,404,628.19/11,824.26
  6. Step 6: Final answer
    x = 13,734.87

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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.