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Finding the Fourth Proportional to 20,381.80, 30,514.38 and 12,537.80

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Solution

The fourth proportional to 20,381.80, 30,514.38 and 12,537.80 is: 18,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.80 : 30,514.38 = 12,537.80 : x
  2. Step 2: Convert to fraction form
    20,381.80/30,514.38 = 12,537.80/x
  3. Step 3: Cross multiply
    20,381.80x = 30,514.38 × 12,537.80
  4. Step 4: Simplify right side
    20,381.80x = 382,583,193.56
  5. Step 5: Solve for x
    x = 382,583,193.56/20,381.80
  6. Step 6: Final answer
    x = 18,770.82

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