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Finding the Fourth Proportional to 13,409.82, 20,084.22 and 11,546.10

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Solution

The fourth proportional to 13,409.82, 20,084.22 and 11,546.10 is: 17,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.82 : 20,084.22 = 11,546.10 : x
  2. Step 2: Convert to fraction form
    13,409.82/20,084.22 = 11,546.10/x
  3. Step 3: Cross multiply
    13,409.82x = 20,084.22 × 11,546.10
  4. Step 4: Simplify right side
    13,409.82x = 231,894,412.54
  5. Step 5: Solve for x
    x = 231,894,412.54/13,409.82
  6. Step 6: Final answer
    x = 17,292.88

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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.