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Finding the Fourth Proportional to 20,667.31, 28,523.12 and 11,713.86

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Solution

The fourth proportional to 20,667.31, 28,523.12 and 11,713.86 is: 16,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,667.31 : 28,523.12 = 11,713.86 : x
  2. Step 2: Convert to fraction form
    20,667.31/28,523.12 = 11,713.86/x
  3. Step 3: Cross multiply
    20,667.31x = 28,523.12 × 11,713.86
  4. Step 4: Simplify right side
    20,667.31x = 334,115,834.44
  5. Step 5: Solve for x
    x = 334,115,834.44/20,667.31
  6. Step 6: Final answer
    x = 16,166.39

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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.