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Finding the Fourth Proportional to 13,814.97, 20,725.70 and 5,495.46

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Solution

The fourth proportional to 13,814.97, 20,725.70 and 5,495.46 is: 8,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.97 : 20,725.70 = 5,495.46 : x
  2. Step 2: Convert to fraction form
    13,814.97/20,725.70 = 5,495.46/x
  3. Step 3: Cross multiply
    13,814.97x = 20,725.70 × 5,495.46
  4. Step 4: Simplify right side
    13,814.97x = 113,897,282.16
  5. Step 5: Solve for x
    x = 113,897,282.16/13,814.97
  6. Step 6: Final answer
    x = 8,244.48

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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.