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Finding the Fourth Proportional to 27,314.92, 37,694.67 and 15,378.44

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Solution

The fourth proportional to 27,314.92, 37,694.67 and 15,378.44 is: 21,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.92 : 37,694.67 = 15,378.44 : x
  2. Step 2: Convert to fraction form
    27,314.92/37,694.67 = 15,378.44/x
  3. Step 3: Cross multiply
    27,314.92x = 37,694.67 × 15,378.44
  4. Step 4: Simplify right side
    27,314.92x = 579,685,220.91
  5. Step 5: Solve for x
    x = 579,685,220.91/27,314.92
  6. Step 6: Final answer
    x = 21,222.29

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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.