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Finding the Fourth Proportional to 23,947.26, 35,921.88 and 9,157.26

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Solution

The fourth proportional to 23,947.26, 35,921.88 and 9,157.26 is: 13,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,947.26 : 35,921.88 = 9,157.26 : x
  2. Step 2: Convert to fraction form
    23,947.26/35,921.88 = 9,157.26/x
  3. Step 3: Cross multiply
    23,947.26x = 35,921.88 × 9,157.26
  4. Step 4: Simplify right side
    23,947.26x = 328,945,994.85
  5. Step 5: Solve for x
    x = 328,945,994.85/23,947.26
  6. Step 6: Final answer
    x = 13,736.27

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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.