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Finding the Fourth Proportional to 29,757, 41,064.66 and 16,509

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Solution

The fourth proportional to 29,757, 41,064.66 and 16,509 is: 22,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757 : 41,064.66 = 16,509 : x
  2. Step 2: Convert to fraction form
    29,757/41,064.66 = 16,509/x
  3. Step 3: Cross multiply
    29,757x = 41,064.66 × 16,509
  4. Step 4: Simplify right side
    29,757x = 677,936,471.94
  5. Step 5: Solve for x
    x = 677,936,471.94/29,757
  6. Step 6: Final answer
    x = 22,782.42

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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.