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Finding the Fourth Proportional to 26,683.11, 40,021.47 and 6,961.14

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Solution

The fourth proportional to 26,683.11, 40,021.47 and 6,961.14 is: 10,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,683.11 : 40,021.47 = 6,961.14 : x
  2. Step 2: Convert to fraction form
    26,683.11/40,021.47 = 6,961.14/x
  3. Step 3: Cross multiply
    26,683.11x = 40,021.47 × 6,961.14
  4. Step 4: Simplify right side
    26,683.11x = 278,595,055.68
  5. Step 5: Solve for x
    x = 278,595,055.68/26,683.11
  6. Step 6: Final answer
    x = 10,440.88

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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.