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Finding the Fourth Proportional to 29,105, 40,164.90 and 15,857

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Solution

The fourth proportional to 29,105, 40,164.90 and 15,857 is: 21,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,105 : 40,164.90 = 15,857 : x
  2. Step 2: Convert to fraction form
    29,105/40,164.90 = 15,857/x
  3. Step 3: Cross multiply
    29,105x = 40,164.90 × 15,857
  4. Step 4: Simplify right side
    29,105x = 636,894,819.30
  5. Step 5: Solve for x
    x = 636,894,819.30/29,105
  6. Step 6: Final answer
    x = 21,882.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.