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Finding the Fourth Proportional to 13,474.90, 20,213.40 and 3,614.08

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Solution

The fourth proportional to 13,474.90, 20,213.40 and 3,614.08 is: 5,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.90 : 20,213.40 = 3,614.08 : x
  2. Step 2: Convert to fraction form
    13,474.90/20,213.40 = 3,614.08/x
  3. Step 3: Cross multiply
    13,474.90x = 20,213.40 × 3,614.08
  4. Step 4: Simplify right side
    13,474.90x = 73,052,844.67
  5. Step 5: Solve for x
    x = 73,052,844.67/13,474.90
  6. Step 6: Final answer
    x = 5,421.40

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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.