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Finding the Fourth Proportional to 20,778.39, 28,674.15 and 12,283.58

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Solution

The fourth proportional to 20,778.39, 28,674.15 and 12,283.58 is: 16,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.39 : 28,674.15 = 12,283.58 : x
  2. Step 2: Convert to fraction form
    20,778.39/28,674.15 = 12,283.58/x
  3. Step 3: Cross multiply
    20,778.39x = 28,674.15 × 12,283.58
  4. Step 4: Simplify right side
    20,778.39x = 352,221,072.09
  5. Step 5: Solve for x
    x = 352,221,072.09/20,778.39
  6. Step 6: Final answer
    x = 16,951.32

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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.