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Finding the Fourth Proportional to 20,657.56, 28,511.60 and 12,272.44

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Solution

The fourth proportional to 20,657.56, 28,511.60 and 12,272.44 is: 16,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.56 : 28,511.60 = 12,272.44 : x
  2. Step 2: Convert to fraction form
    20,657.56/28,511.60 = 12,272.44/x
  3. Step 3: Cross multiply
    20,657.56x = 28,511.60 × 12,272.44
  4. Step 4: Simplify right side
    20,657.56x = 349,906,900.30
  5. Step 5: Solve for x
    x = 349,906,900.30/20,657.56
  6. Step 6: Final answer
    x = 16,938.44

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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.