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Finding the Fourth Proportional to 13,812.96, 20,722.92 and 3,953.10

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Solution

The fourth proportional to 13,812.96, 20,722.92 and 3,953.10 is: 5,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.96 : 20,722.92 = 3,953.10 : x
  2. Step 2: Convert to fraction form
    13,812.96/20,722.92 = 3,953.10/x
  3. Step 3: Cross multiply
    13,812.96x = 20,722.92 × 3,953.10
  4. Step 4: Simplify right side
    13,812.96x = 81,919,775.05
  5. Step 5: Solve for x
    x = 81,919,775.05/13,812.96
  6. Step 6: Final answer
    x = 5,930.65

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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.