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Finding the Fourth Proportional to 19,414, 26,793.48 and 11,962

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Solution

The fourth proportional to 19,414, 26,793.48 and 11,962 is: 16,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414 : 26,793.48 = 11,962 : x
  2. Step 2: Convert to fraction form
    19,414/26,793.48 = 11,962/x
  3. Step 3: Cross multiply
    19,414x = 26,793.48 × 11,962
  4. Step 4: Simplify right side
    19,414x = 320,503,607.76
  5. Step 5: Solve for x
    x = 320,503,607.76/19,414
  6. Step 6: Final answer
    x = 16,508.89

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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.