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Finding the Fourth Proportional to 13,644.12, 20,446.38 and 7,398.84

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Solution

The fourth proportional to 13,644.12, 20,446.38 and 7,398.84 is: 11,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.12 : 20,446.38 = 7,398.84 : x
  2. Step 2: Convert to fraction form
    13,644.12/20,446.38 = 7,398.84/x
  3. Step 3: Cross multiply
    13,644.12x = 20,446.38 × 7,398.84
  4. Step 4: Simplify right side
    13,644.12x = 151,279,494.20
  5. Step 5: Solve for x
    x = 151,279,494.20/13,644.12
  6. Step 6: Final answer
    x = 11,087.52

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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.