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Finding the Fourth Proportional to 20,590.50, 30,927.08 and 12,286.72

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Solution

The fourth proportional to 20,590.50, 30,927.08 and 12,286.72 is: 18,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.50 : 30,927.08 = 12,286.72 : x
  2. Step 2: Convert to fraction form
    20,590.50/30,927.08 = 12,286.72/x
  3. Step 3: Cross multiply
    20,590.50x = 30,927.08 × 12,286.72
  4. Step 4: Simplify right side
    20,590.50x = 379,992,372.38
  5. Step 5: Solve for x
    x = 379,992,372.38/20,590.50
  6. Step 6: Final answer
    x = 18,454.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.