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Finding the Fourth Proportional to 20,596.50, 30,871.44 and 13,494.24

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Solution

The fourth proportional to 20,596.50, 30,871.44 and 13,494.24 is: 20,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.50 : 30,871.44 = 13,494.24 : x
  2. Step 2: Convert to fraction form
    20,596.50/30,871.44 = 13,494.24/x
  3. Step 3: Cross multiply
    20,596.50x = 30,871.44 × 13,494.24
  4. Step 4: Simplify right side
    20,596.50x = 416,586,620.51
  5. Step 5: Solve for x
    x = 416,586,620.51/20,596.50
  6. Step 6: Final answer
    x = 20,226.09

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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.