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Finding the Fourth Proportional to 13,874.01, 20,809.08 and 4,514.12

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Solution

The fourth proportional to 13,874.01, 20,809.08 and 4,514.12 is: 6,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.01 : 20,809.08 = 4,514.12 : x
  2. Step 2: Convert to fraction form
    13,874.01/20,809.08 = 4,514.12/x
  3. Step 3: Cross multiply
    13,874.01x = 20,809.08 × 4,514.12
  4. Step 4: Simplify right side
    13,874.01x = 93,934,580.16
  5. Step 5: Solve for x
    x = 93,934,580.16/13,874.01
  6. Step 6: Final answer
    x = 6,770.54

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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.