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Finding the Fourth Proportional to 19,696, 27,180.48 and 10,864

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Solution

The fourth proportional to 19,696, 27,180.48 and 10,864 is: 14,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696 : 27,180.48 = 10,864 : x
  2. Step 2: Convert to fraction form
    19,696/27,180.48 = 10,864/x
  3. Step 3: Cross multiply
    19,696x = 27,180.48 × 10,864
  4. Step 4: Simplify right side
    19,696x = 295,288,734.72
  5. Step 5: Solve for x
    x = 295,288,734.72/19,696
  6. Step 6: Final answer
    x = 14,992.32

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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.