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Finding the Fourth Proportional to 24,217.75, 36,323.85 and 8,420.09

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Solution

The fourth proportional to 24,217.75, 36,323.85 and 8,420.09 is: 12,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.75 : 36,323.85 = 8,420.09 : x
  2. Step 2: Convert to fraction form
    24,217.75/36,323.85 = 8,420.09/x
  3. Step 3: Cross multiply
    24,217.75x = 36,323.85 × 8,420.09
  4. Step 4: Simplify right side
    24,217.75x = 305,850,086.15
  5. Step 5: Solve for x
    x = 305,850,086.15/24,217.75
  6. Step 6: Final answer
    x = 12,629.17

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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.