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Finding the Fourth Proportional to 24,889.82, 37,333.64 and 8,022.46

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Solution

The fourth proportional to 24,889.82, 37,333.64 and 8,022.46 is: 12,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,889.82 : 37,333.64 = 8,022.46 : x
  2. Step 2: Convert to fraction form
    24,889.82/37,333.64 = 8,022.46/x
  3. Step 3: Cross multiply
    24,889.82x = 37,333.64 × 8,022.46
  4. Step 4: Simplify right side
    24,889.82x = 299,507,560.28
  5. Step 5: Solve for x
    x = 299,507,560.28/24,889.82
  6. Step 6: Final answer
    x = 12,033.33

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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.