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Finding the Fourth Proportional to 19,983.21, 29,967 and 7,496.43

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Solution

The fourth proportional to 19,983.21, 29,967 and 7,496.43 is: 11,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.21 : 29,967 = 7,496.43 : x
  2. Step 2: Convert to fraction form
    19,983.21/29,967 = 7,496.43/x
  3. Step 3: Cross multiply
    19,983.21x = 29,967 × 7,496.43
  4. Step 4: Simplify right side
    19,983.21x = 224,645,517.81
  5. Step 5: Solve for x
    x = 224,645,517.81/19,983.21
  6. Step 6: Final answer
    x = 11,241.71

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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.