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Finding the Fourth Proportional to 27,758.70, 38,310.03 and 17,696.34

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Solution

The fourth proportional to 27,758.70, 38,310.03 and 17,696.34 is: 24,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.70 : 38,310.03 = 17,696.34 : x
  2. Step 2: Convert to fraction form
    27,758.70/38,310.03 = 17,696.34/x
  3. Step 3: Cross multiply
    27,758.70x = 38,310.03 × 17,696.34
  4. Step 4: Simplify right side
    27,758.70x = 677,947,316.29
  5. Step 5: Solve for x
    x = 677,947,316.29/27,758.70
  6. Step 6: Final answer
    x = 24,422.88

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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.