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Finding the Fourth Proportional to 20,780.38, 28,668.22 and 12,707.92

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Solution

The fourth proportional to 20,780.38, 28,668.22 and 12,707.92 is: 17,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.38 : 28,668.22 = 12,707.92 : x
  2. Step 2: Convert to fraction form
    20,780.38/28,668.22 = 12,707.92/x
  3. Step 3: Cross multiply
    20,780.38x = 28,668.22 × 12,707.92
  4. Step 4: Simplify right side
    20,780.38x = 364,313,446.30
  5. Step 5: Solve for x
    x = 364,313,446.30/20,780.38
  6. Step 6: Final answer
    x = 17,531.61

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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.