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Finding the Fourth Proportional to 16,824.49, 23,049.65 and 16,193.90

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Solution

The fourth proportional to 16,824.49, 23,049.65 and 16,193.90 is: 22,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.49 : 23,049.65 = 16,193.90 : x
  2. Step 2: Convert to fraction form
    16,824.49/23,049.65 = 16,193.90/x
  3. Step 3: Cross multiply
    16,824.49x = 23,049.65 × 16,193.90
  4. Step 4: Simplify right side
    16,824.49x = 373,263,727.14
  5. Step 5: Solve for x
    x = 373,263,727.14/16,824.49
  6. Step 6: Final answer
    x = 22,185.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.