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Finding the Fourth Proportional to 20,447.67, 28,218.24 and 12,494.28

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Solution

The fourth proportional to 20,447.67, 28,218.24 and 12,494.28 is: 17,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.67 : 28,218.24 = 12,494.28 : x
  2. Step 2: Convert to fraction form
    20,447.67/28,218.24 = 12,494.28/x
  3. Step 3: Cross multiply
    20,447.67x = 28,218.24 × 12,494.28
  4. Step 4: Simplify right side
    20,447.67x = 352,566,591.67
  5. Step 5: Solve for x
    x = 352,566,591.67/20,447.67
  6. Step 6: Final answer
    x = 17,242.38

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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.