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Finding the Fourth Proportional to 22,826.22, 34,238.14 and 8,035.24

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Solution

The fourth proportional to 22,826.22, 34,238.14 and 8,035.24 is: 12,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.22 : 34,238.14 = 8,035.24 : x
  2. Step 2: Convert to fraction form
    22,826.22/34,238.14 = 8,035.24/x
  3. Step 3: Cross multiply
    22,826.22x = 34,238.14 × 8,035.24
  4. Step 4: Simplify right side
    22,826.22x = 275,111,566.37
  5. Step 5: Solve for x
    x = 275,111,566.37/22,826.22
  6. Step 6: Final answer
    x = 12,052.44

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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.