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Finding the Fourth Proportional to 20,770.38, 28,648.38 and 12,815.19

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Solution

The fourth proportional to 20,770.38, 28,648.38 and 12,815.19 is: 17,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.38 : 28,648.38 = 12,815.19 : x
  2. Step 2: Convert to fraction form
    20,770.38/28,648.38 = 12,815.19/x
  3. Step 3: Cross multiply
    20,770.38x = 28,648.38 × 12,815.19
  4. Step 4: Simplify right side
    20,770.38x = 367,134,432.89
  5. Step 5: Solve for x
    x = 367,134,432.89/20,770.38
  6. Step 6: Final answer
    x = 17,675.87

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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.