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Finding the Fourth Proportional to 13,902.67, 20,853.91 and 3,514.42

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Solution

The fourth proportional to 13,902.67, 20,853.91 and 3,514.42 is: 5,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.67 : 20,853.91 = 3,514.42 : x
  2. Step 2: Convert to fraction form
    13,902.67/20,853.91 = 3,514.42/x
  3. Step 3: Cross multiply
    13,902.67x = 20,853.91 × 3,514.42
  4. Step 4: Simplify right side
    13,902.67x = 73,289,398.38
  5. Step 5: Solve for x
    x = 73,289,398.38/13,902.67
  6. Step 6: Final answer
    x = 5,271.61

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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.