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Finding the Fourth Proportional to 22,616.22, 33,926.85 and 7,826.46

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Solution

The fourth proportional to 22,616.22, 33,926.85 and 7,826.46 is: 11,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.22 : 33,926.85 = 7,826.46 : x
  2. Step 2: Convert to fraction form
    22,616.22/33,926.85 = 7,826.46/x
  3. Step 3: Cross multiply
    22,616.22x = 33,926.85 × 7,826.46
  4. Step 4: Simplify right side
    22,616.22x = 265,527,134.45
  5. Step 5: Solve for x
    x = 265,527,134.45/22,616.22
  6. Step 6: Final answer
    x = 11,740.56

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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.