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Finding the Fourth Proportional to 13,533.73, 20,299.20 and 3,674

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Solution

The fourth proportional to 13,533.73, 20,299.20 and 3,674 is: 5,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.73 : 20,299.20 = 3,674 : x
  2. Step 2: Convert to fraction form
    13,533.73/20,299.20 = 3,674/x
  3. Step 3: Cross multiply
    13,533.73x = 20,299.20 × 3,674
  4. Step 4: Simplify right side
    13,533.73x = 74,579,260.80
  5. Step 5: Solve for x
    x = 74,579,260.80/13,533.73
  6. Step 6: Final answer
    x = 5,510.62

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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.