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Finding the Fourth Proportional to 29,857, 41,199.96 and 16,428.82

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Solution

The fourth proportional to 29,857, 41,199.96 and 16,428.82 is: 22,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857 : 41,199.96 = 16,428.82 : x
  2. Step 2: Convert to fraction form
    29,857/41,199.96 = 16,428.82/x
  3. Step 3: Cross multiply
    29,857x = 41,199.96 × 16,428.82
  4. Step 4: Simplify right side
    29,857x = 676,866,726.85
  5. Step 5: Solve for x
    x = 676,866,726.85/29,857
  6. Step 6: Final answer
    x = 22,670.29

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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.