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Finding the Fourth Proportional to 26,749.38, 36,912.90 and 14,811.78

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Solution

The fourth proportional to 26,749.38, 36,912.90 and 14,811.78 is: 20,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749.38 : 36,912.90 = 14,811.78 : x
  2. Step 2: Convert to fraction form
    26,749.38/36,912.90 = 14,811.78/x
  3. Step 3: Cross multiply
    26,749.38x = 36,912.90 × 14,811.78
  4. Step 4: Simplify right side
    26,749.38x = 546,745,753.96
  5. Step 5: Solve for x
    x = 546,745,753.96/26,749.38
  6. Step 6: Final answer
    x = 20,439.57

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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.