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Finding the Fourth Proportional to 16,822.80, 23,047.35 and 16,192.22

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Solution

The fourth proportional to 16,822.80, 23,047.35 and 16,192.22 is: 22,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.80 : 23,047.35 = 16,192.22 : x
  2. Step 2: Convert to fraction form
    16,822.80/23,047.35 = 16,192.22/x
  3. Step 3: Cross multiply
    16,822.80x = 23,047.35 × 16,192.22
  4. Step 4: Simplify right side
    16,822.80x = 373,187,646.38
  5. Step 5: Solve for x
    x = 373,187,646.38/16,822.80
  6. Step 6: Final answer
    x = 22,183.44

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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.