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Finding the Fourth Proportional to 20,937.75, 28,894.11 and 11,506.38

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Solution

The fourth proportional to 20,937.75, 28,894.11 and 11,506.38 is: 15,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.75 : 28,894.11 = 11,506.38 : x
  2. Step 2: Convert to fraction form
    20,937.75/28,894.11 = 11,506.38/x
  3. Step 3: Cross multiply
    20,937.75x = 28,894.11 × 11,506.38
  4. Step 4: Simplify right side
    20,937.75x = 332,466,609.42
  5. Step 5: Solve for x
    x = 332,466,609.42/20,937.75
  6. Step 6: Final answer
    x = 15,878.81

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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.