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Finding the Fourth Proportional to 19,696.72, 27,180.60 and 10,744

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Solution

The fourth proportional to 19,696.72, 27,180.60 and 10,744 is: 14,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.72 : 27,180.60 = 10,744 : x
  2. Step 2: Convert to fraction form
    19,696.72/27,180.60 = 10,744/x
  3. Step 3: Cross multiply
    19,696.72x = 27,180.60 × 10,744
  4. Step 4: Simplify right side
    19,696.72x = 292,028,366.40
  5. Step 5: Solve for x
    x = 292,028,366.40/19,696.72
  6. Step 6: Final answer
    x = 14,826.24

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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.