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Finding the Fourth Proportional to 12,351, 18,529.32 and 3,586.62

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Solution

The fourth proportional to 12,351, 18,529.32 and 3,586.62 is: 5,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351 : 18,529.32 = 3,586.62 : x
  2. Step 2: Convert to fraction form
    12,351/18,529.32 = 3,586.62/x
  3. Step 3: Cross multiply
    12,351x = 18,529.32 × 3,586.62
  4. Step 4: Simplify right side
    12,351x = 66,457,629.70
  5. Step 5: Solve for x
    x = 66,457,629.70/12,351
  6. Step 6: Final answer
    x = 5,380.75

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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.