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Finding the Fourth Proportional to 16,820.16, 23,043.73 and 16,189.58

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Solution

The fourth proportional to 16,820.16, 23,043.73 and 16,189.58 is: 22,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.16 : 23,043.73 = 16,189.58 : x
  2. Step 2: Convert to fraction form
    16,820.16/23,043.73 = 16,189.58/x
  3. Step 3: Cross multiply
    16,820.16x = 23,043.73 × 16,189.58
  4. Step 4: Simplify right side
    16,820.16x = 373,068,310.33
  5. Step 5: Solve for x
    x = 373,068,310.33/16,820.16
  6. Step 6: Final answer
    x = 22,179.83

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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.