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Finding the Fourth Proportional to 16,383.80, 24,573 and 7,025.33

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Solution

The fourth proportional to 16,383.80, 24,573 and 7,025.33 is: 10,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.80 : 24,573 = 7,025.33 : x
  2. Step 2: Convert to fraction form
    16,383.80/24,573 = 7,025.33/x
  3. Step 3: Cross multiply
    16,383.80x = 24,573 × 7,025.33
  4. Step 4: Simplify right side
    16,383.80x = 172,633,434.09
  5. Step 5: Solve for x
    x = 172,633,434.09/16,383.80
  6. Step 6: Final answer
    x = 10,536.84

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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.