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Finding the Fourth Proportional to 27,446.25, 37,861.21 and 16,694.41

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Solution

The fourth proportional to 27,446.25, 37,861.21 and 16,694.41 is: 23,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.25 : 37,861.21 = 16,694.41 : x
  2. Step 2: Convert to fraction form
    27,446.25/37,861.21 = 16,694.41/x
  3. Step 3: Cross multiply
    27,446.25x = 37,861.21 × 16,694.41
  4. Step 4: Simplify right side
    27,446.25x = 632,070,373.53
  5. Step 5: Solve for x
    x = 632,070,373.53/27,446.25
  6. Step 6: Final answer
    x = 23,029.39

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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.