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Finding the Fourth Proportional to 20,789.22, 28,689.84 and 11,358.38

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Solution

The fourth proportional to 20,789.22, 28,689.84 and 11,358.38 is: 15,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,789.22 : 28,689.84 = 11,358.38 : x
  2. Step 2: Convert to fraction form
    20,789.22/28,689.84 = 11,358.38/x
  3. Step 3: Cross multiply
    20,789.22x = 28,689.84 × 11,358.38
  4. Step 4: Simplify right side
    20,789.22x = 325,870,104.86
  5. Step 5: Solve for x
    x = 325,870,104.86/20,789.22
  6. Step 6: Final answer
    x = 15,674.96

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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.