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Finding the Fourth Proportional to 13,494.69, 20,247.89 and 7,247.42

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Solution

The fourth proportional to 13,494.69, 20,247.89 and 7,247.42 is: 10,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.69 : 20,247.89 = 7,247.42 : x
  2. Step 2: Convert to fraction form
    13,494.69/20,247.89 = 7,247.42/x
  3. Step 3: Cross multiply
    13,494.69x = 20,247.89 × 7,247.42
  4. Step 4: Simplify right side
    13,494.69x = 146,744,962.94
  5. Step 5: Solve for x
    x = 146,744,962.94/13,494.69
  6. Step 6: Final answer
    x = 10,874.27

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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.