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Finding the Fourth Proportional to 13,873.43, 20,812.17 and 5,107.61

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Solution

The fourth proportional to 13,873.43, 20,812.17 and 5,107.61 is: 7,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.43 : 20,812.17 = 5,107.61 : x
  2. Step 2: Convert to fraction form
    13,873.43/20,812.17 = 5,107.61/x
  3. Step 3: Cross multiply
    13,873.43x = 20,812.17 × 5,107.61
  4. Step 4: Simplify right side
    13,873.43x = 106,300,343.55
  5. Step 5: Solve for x
    x = 106,300,343.55/13,873.43
  6. Step 6: Final answer
    x = 7,662.16

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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.