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Finding the Fourth Proportional to 13,821.70, 20,725.19 and 5,497.42

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Solution

The fourth proportional to 13,821.70, 20,725.19 and 5,497.42 is: 8,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.70 : 20,725.19 = 5,497.42 : x
  2. Step 2: Convert to fraction form
    13,821.70/20,725.19 = 5,497.42/x
  3. Step 3: Cross multiply
    13,821.70x = 20,725.19 × 5,497.42
  4. Step 4: Simplify right side
    13,821.70x = 113,935,074.01
  5. Step 5: Solve for x
    x = 113,935,074.01/13,821.70
  6. Step 6: Final answer
    x = 8,243.20

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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.