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Finding the Fourth Proportional to 23,529.88, 35,287.34 and 7,731.27

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Solution

The fourth proportional to 23,529.88, 35,287.34 and 7,731.27 is: 11,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.88 : 35,287.34 = 7,731.27 : x
  2. Step 2: Convert to fraction form
    23,529.88/35,287.34 = 7,731.27/x
  3. Step 3: Cross multiply
    23,529.88x = 35,287.34 × 7,731.27
  4. Step 4: Simplify right side
    23,529.88x = 272,815,738.03
  5. Step 5: Solve for x
    x = 272,815,738.03/23,529.88
  6. Step 6: Final answer
    x = 11,594.44

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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.