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Finding the Fourth Proportional to 20,732.38, 28,609.84 and 11,657.49

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Solution

The fourth proportional to 20,732.38, 28,609.84 and 11,657.49 is: 16,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.38 : 28,609.84 = 11,657.49 : x
  2. Step 2: Convert to fraction form
    20,732.38/28,609.84 = 11,657.49/x
  3. Step 3: Cross multiply
    20,732.38x = 28,609.84 × 11,657.49
  4. Step 4: Simplify right side
    20,732.38x = 333,518,830.99
  5. Step 5: Solve for x
    x = 333,518,830.99/20,732.38
  6. Step 6: Final answer
    x = 16,086.85

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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.