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Finding the Fourth Proportional to 20,766.40, 28,657.44 and 12,805.44

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Solution

The fourth proportional to 20,766.40, 28,657.44 and 12,805.44 is: 17,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.40 : 28,657.44 = 12,805.44 : x
  2. Step 2: Convert to fraction form
    20,766.40/28,657.44 = 12,805.44/x
  3. Step 3: Cross multiply
    20,766.40x = 28,657.44 × 12,805.44
  4. Step 4: Simplify right side
    20,766.40x = 366,971,128.47
  5. Step 5: Solve for x
    x = 366,971,128.47/20,766.40
  6. Step 6: Final answer
    x = 17,671.39

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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.