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Finding the Fourth Proportional to 13,546.46, 20,312.19 and 4,183.88

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Solution

The fourth proportional to 13,546.46, 20,312.19 and 4,183.88 is: 6,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.46 : 20,312.19 = 4,183.88 : x
  2. Step 2: Convert to fraction form
    13,546.46/20,312.19 = 4,183.88/x
  3. Step 3: Cross multiply
    13,546.46x = 20,312.19 × 4,183.88
  4. Step 4: Simplify right side
    13,546.46x = 84,983,663.94
  5. Step 5: Solve for x
    x = 84,983,663.94/13,546.46
  6. Step 6: Final answer
    x = 6,273.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.