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Finding the Fourth Proportional to 28,204.26, 38,912.34 and 16,267.29

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Solution

The fourth proportional to 28,204.26, 38,912.34 and 16,267.29 is: 22,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.26 : 38,912.34 = 16,267.29 : x
  2. Step 2: Convert to fraction form
    28,204.26/38,912.34 = 16,267.29/x
  3. Step 3: Cross multiply
    28,204.26x = 38,912.34 × 16,267.29
  4. Step 4: Simplify right side
    28,204.26x = 632,998,319.36
  5. Step 5: Solve for x
    x = 632,998,319.36/28,204.26
  6. Step 6: Final answer
    x = 22,443.36

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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.