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Finding the Fourth Proportional to 22,205.43, 30,643.50 and 11,996.46

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Solution

The fourth proportional to 22,205.43, 30,643.50 and 11,996.46 is: 16,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.43 : 30,643.50 = 11,996.46 : x
  2. Step 2: Convert to fraction form
    22,205.43/30,643.50 = 11,996.46/x
  3. Step 3: Cross multiply
    22,205.43x = 30,643.50 × 11,996.46
  4. Step 4: Simplify right side
    22,205.43x = 367,613,522.01
  5. Step 5: Solve for x
    x = 367,613,522.01/22,205.43
  6. Step 6: Final answer
    x = 16,555.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.