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Finding the Fourth Proportional to 29,883.87, 41,239.80 and 16,456.05

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Solution

The fourth proportional to 29,883.87, 41,239.80 and 16,456.05 is: 22,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,883.87 : 41,239.80 = 16,456.05 : x
  2. Step 2: Convert to fraction form
    29,883.87/41,239.80 = 16,456.05/x
  3. Step 3: Cross multiply
    29,883.87x = 41,239.80 × 16,456.05
  4. Step 4: Simplify right side
    29,883.87x = 678,644,210.79
  5. Step 5: Solve for x
    x = 678,644,210.79/29,883.87
  6. Step 6: Final answer
    x = 22,709.38

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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.