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Finding the Fourth Proportional to 21,407.75, 29,542.48 and 11,976.38

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Solution

The fourth proportional to 21,407.75, 29,542.48 and 11,976.38 is: 16,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.75 : 29,542.48 = 11,976.38 : x
  2. Step 2: Convert to fraction form
    21,407.75/29,542.48 = 11,976.38/x
  3. Step 3: Cross multiply
    21,407.75x = 29,542.48 × 11,976.38
  4. Step 4: Simplify right side
    21,407.75x = 353,811,788.97
  5. Step 5: Solve for x
    x = 353,811,788.97/21,407.75
  6. Step 6: Final answer
    x = 16,527.28

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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.