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Finding the Fourth Proportional to 26,742.29, 36,906.22 and 14,806.38

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Solution

The fourth proportional to 26,742.29, 36,906.22 and 14,806.38 is: 20,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742.29 : 36,906.22 = 14,806.38 : x
  2. Step 2: Convert to fraction form
    26,742.29/36,906.22 = 14,806.38/x
  3. Step 3: Cross multiply
    26,742.29x = 36,906.22 × 14,806.38
  4. Step 4: Simplify right side
    26,742.29x = 546,447,517.68
  5. Step 5: Solve for x
    x = 546,447,517.68/26,742.29
  6. Step 6: Final answer
    x = 20,433.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.