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Finding the Fourth Proportional to 20,354.96, 28,078.38 and 11,856.08

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Solution

The fourth proportional to 20,354.96, 28,078.38 and 11,856.08 is: 16,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.96 : 28,078.38 = 11,856.08 : x
  2. Step 2: Convert to fraction form
    20,354.96/28,078.38 = 11,856.08/x
  3. Step 3: Cross multiply
    20,354.96x = 28,078.38 × 11,856.08
  4. Step 4: Simplify right side
    20,354.96x = 332,899,519.55
  5. Step 5: Solve for x
    x = 332,899,519.55/20,354.96
  6. Step 6: Final answer
    x = 16,354.71

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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.