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Finding the Fourth Proportional to 23,512.22, 35,243.52 and 7,713.12

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Solution

The fourth proportional to 23,512.22, 35,243.52 and 7,713.12 is: 11,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.22 : 35,243.52 = 7,713.12 : x
  2. Step 2: Convert to fraction form
    23,512.22/35,243.52 = 7,713.12/x
  3. Step 3: Cross multiply
    23,512.22x = 35,243.52 × 7,713.12
  4. Step 4: Simplify right side
    23,512.22x = 271,837,498.98
  5. Step 5: Solve for x
    x = 271,837,498.98/23,512.22
  6. Step 6: Final answer
    x = 11,561.54

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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.