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Finding the Fourth Proportional to 13,475.72, 20,213.58 and 5,158.28

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Solution

The fourth proportional to 13,475.72, 20,213.58 and 5,158.28 is: 7,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.72 : 20,213.58 = 5,158.28 : x
  2. Step 2: Convert to fraction form
    13,475.72/20,213.58 = 5,158.28/x
  3. Step 3: Cross multiply
    13,475.72x = 20,213.58 × 5,158.28
  4. Step 4: Simplify right side
    13,475.72x = 104,267,375.32
  5. Step 5: Solve for x
    x = 104,267,375.32/13,475.72
  6. Step 6: Final answer
    x = 7,737.43

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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.