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Finding the Fourth Proportional to 12,593.46, 18,891.84 and 4,157.16

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Solution

The fourth proportional to 12,593.46, 18,891.84 and 4,157.16 is: 6,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.46 : 18,891.84 = 4,157.16 : x
  2. Step 2: Convert to fraction form
    12,593.46/18,891.84 = 4,157.16/x
  3. Step 3: Cross multiply
    12,593.46x = 18,891.84 × 4,157.16
  4. Step 4: Simplify right side
    12,593.46x = 78,536,401.57
  5. Step 5: Solve for x
    x = 78,536,401.57/12,593.46
  6. Step 6: Final answer
    x = 6,236.28

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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.