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Finding the Fourth Proportional to 20,696.68, 31,034.94 and 6,841

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Solution

The fourth proportional to 20,696.68, 31,034.94 and 6,841 is: 10,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.68 : 31,034.94 = 6,841 : x
  2. Step 2: Convert to fraction form
    20,696.68/31,034.94 = 6,841/x
  3. Step 3: Cross multiply
    20,696.68x = 31,034.94 × 6,841
  4. Step 4: Simplify right side
    20,696.68x = 212,310,024.54
  5. Step 5: Solve for x
    x = 212,310,024.54/20,696.68
  6. Step 6: Final answer
    x = 10,258.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.