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Finding the Fourth Proportional to 20,920.38, 28,865.16 and 11,845.86

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Solution

The fourth proportional to 20,920.38, 28,865.16 and 11,845.86 is: 16,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.38 : 28,865.16 = 11,845.86 : x
  2. Step 2: Convert to fraction form
    20,920.38/28,865.16 = 11,845.86/x
  3. Step 3: Cross multiply
    20,920.38x = 28,865.16 × 11,845.86
  4. Step 4: Simplify right side
    20,920.38x = 341,932,644.24
  5. Step 5: Solve for x
    x = 341,932,644.24/20,920.38
  6. Step 6: Final answer
    x = 16,344.48

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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.