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Finding the Fourth Proportional to 21,757, 30,024.74 and 11,821

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Solution

The fourth proportional to 21,757, 30,024.74 and 11,821 is: 16,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757 : 30,024.74 = 11,821 : x
  2. Step 2: Convert to fraction form
    21,757/30,024.74 = 11,821/x
  3. Step 3: Cross multiply
    21,757x = 30,024.74 × 11,821
  4. Step 4: Simplify right side
    21,757x = 354,922,451.54
  5. Step 5: Solve for x
    x = 354,922,451.54/21,757
  6. Step 6: Final answer
    x = 16,313.02

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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.