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Finding the Fourth Proportional to 13,614.21, 20,416.16 and 5,293.20

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Solution

The fourth proportional to 13,614.21, 20,416.16 and 5,293.20 is: 7,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.21 : 20,416.16 = 5,293.20 : x
  2. Step 2: Convert to fraction form
    13,614.21/20,416.16 = 5,293.20/x
  3. Step 3: Cross multiply
    13,614.21x = 20,416.16 × 5,293.20
  4. Step 4: Simplify right side
    13,614.21x = 108,066,791.65
  5. Step 5: Solve for x
    x = 108,066,791.65/13,614.21
  6. Step 6: Final answer
    x = 7,937.79

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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.