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Finding the Fourth Proportional to 23,440.22, 35,163.99 and 7,854.20

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Solution

The fourth proportional to 23,440.22, 35,163.99 and 7,854.20 is: 11,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440.22 : 35,163.99 = 7,854.20 : x
  2. Step 2: Convert to fraction form
    23,440.22/35,163.99 = 7,854.20/x
  3. Step 3: Cross multiply
    23,440.22x = 35,163.99 × 7,854.20
  4. Step 4: Simplify right side
    23,440.22x = 276,185,010.26
  5. Step 5: Solve for x
    x = 276,185,010.26/23,440.22
  6. Step 6: Final answer
    x = 11,782.53

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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.