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Finding the Fourth Proportional to 20,422.45, 28,179.67 and 12,764.82

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Solution

The fourth proportional to 20,422.45, 28,179.67 and 12,764.82 is: 17,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.45 : 28,179.67 = 12,764.82 : x
  2. Step 2: Convert to fraction form
    20,422.45/28,179.67 = 12,764.82/x
  3. Step 3: Cross multiply
    20,422.45x = 28,179.67 × 12,764.82
  4. Step 4: Simplify right side
    20,422.45x = 359,708,415.21
  5. Step 5: Solve for x
    x = 359,708,415.21/20,422.45
  6. Step 6: Final answer
    x = 17,613.38

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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.