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Finding the Fourth Proportional to 29,820.88, 41,152.82 and 16,393

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Solution

The fourth proportional to 29,820.88, 41,152.82 and 16,393 is: 22,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.88 : 41,152.82 = 16,393 : x
  2. Step 2: Convert to fraction form
    29,820.88/41,152.82 = 16,393/x
  3. Step 3: Cross multiply
    29,820.88x = 41,152.82 × 16,393
  4. Step 4: Simplify right side
    29,820.88x = 674,618,178.26
  5. Step 5: Solve for x
    x = 674,618,178.26/29,820.88
  6. Step 6: Final answer
    x = 22,622.34

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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.