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Finding the Fourth Proportional to 28,951.28, 39,952.32 and 16,204.80

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Solution

The fourth proportional to 28,951.28, 39,952.32 and 16,204.80 is: 22,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,951.28 : 39,952.32 = 16,204.80 : x
  2. Step 2: Convert to fraction form
    28,951.28/39,952.32 = 16,204.80/x
  3. Step 3: Cross multiply
    28,951.28x = 39,952.32 × 16,204.80
  4. Step 4: Simplify right side
    28,951.28x = 647,419,355.14
  5. Step 5: Solve for x
    x = 647,419,355.14/28,951.28
  6. Step 6: Final answer
    x = 22,362.37

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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.