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Finding the Fourth Proportional to 24,022.44, 36,035.69 and 8,226.90

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Solution

The fourth proportional to 24,022.44, 36,035.69 and 8,226.90 is: 12,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.44 : 36,035.69 = 8,226.90 : x
  2. Step 2: Convert to fraction form
    24,022.44/36,035.69 = 8,226.90/x
  3. Step 3: Cross multiply
    24,022.44x = 36,035.69 × 8,226.90
  4. Step 4: Simplify right side
    24,022.44x = 296,461,976.93
  5. Step 5: Solve for x
    x = 296,461,976.93/24,022.44
  6. Step 6: Final answer
    x = 12,341.04

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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.