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Finding the Fourth Proportional to 24,211.64, 36,318.83 and 8,629.26

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Solution

The fourth proportional to 24,211.64, 36,318.83 and 8,629.26 is: 12,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211.64 : 36,318.83 = 8,629.26 : x
  2. Step 2: Convert to fraction form
    24,211.64/36,318.83 = 8,629.26/x
  3. Step 3: Cross multiply
    24,211.64x = 36,318.83 × 8,629.26
  4. Step 4: Simplify right side
    24,211.64x = 313,404,583.82
  5. Step 5: Solve for x
    x = 313,404,583.82/24,211.64
  6. Step 6: Final answer
    x = 12,944.38

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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.