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Finding the Fourth Proportional to 13,505.43, 20,258.15 and 3,644.70

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Solution

The fourth proportional to 13,505.43, 20,258.15 and 3,644.70 is: 5,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.43 : 20,258.15 = 3,644.70 : x
  2. Step 2: Convert to fraction form
    13,505.43/20,258.15 = 3,644.70/x
  3. Step 3: Cross multiply
    13,505.43x = 20,258.15 × 3,644.70
  4. Step 4: Simplify right side
    13,505.43x = 73,834,778.01
  5. Step 5: Solve for x
    x = 73,834,778.01/13,505.43
  6. Step 6: Final answer
    x = 5,467.04

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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.