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Finding the Fourth Proportional to 13,475.89, 20,213.40 and 3,614.65

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Solution

The fourth proportional to 13,475.89, 20,213.40 and 3,614.65 is: 5,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.89 : 20,213.40 = 3,614.65 : x
  2. Step 2: Convert to fraction form
    13,475.89/20,213.40 = 3,614.65/x
  3. Step 3: Cross multiply
    13,475.89x = 20,213.40 × 3,614.65
  4. Step 4: Simplify right side
    13,475.89x = 73,064,366.31
  5. Step 5: Solve for x
    x = 73,064,366.31/13,475.89
  6. Step 6: Final answer
    x = 5,421.86

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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.