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Finding the Fourth Proportional to 16,721, 25,093.02 and 5,777

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Solution

The fourth proportional to 16,721, 25,093.02 and 5,777 is: 8,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,721 : 25,093.02 = 5,777 : x
  2. Step 2: Convert to fraction form
    16,721/25,093.02 = 5,777/x
  3. Step 3: Cross multiply
    16,721x = 25,093.02 × 5,777
  4. Step 4: Simplify right side
    16,721x = 144,962,376.54
  5. Step 5: Solve for x
    x = 144,962,376.54/16,721
  6. Step 6: Final answer
    x = 8,669.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.