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Finding the Fourth Proportional to 16,757.94, 23,125.81 and 9,204.38

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Solution

The fourth proportional to 16,757.94, 23,125.81 and 9,204.38 is: 12,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757.94 : 23,125.81 = 9,204.38 : x
  2. Step 2: Convert to fraction form
    16,757.94/23,125.81 = 9,204.38/x
  3. Step 3: Cross multiply
    16,757.94x = 23,125.81 × 9,204.38
  4. Step 4: Simplify right side
    16,757.94x = 212,858,743.05
  5. Step 5: Solve for x
    x = 212,858,743.05/16,757.94
  6. Step 6: Final answer
    x = 12,701.96

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Why These Related Problems?

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