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Finding the Fourth Proportional to 13,367.75, 20,052.71 and 4,133.75

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Solution

The fourth proportional to 13,367.75, 20,052.71 and 4,133.75 is: 6,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.75 : 20,052.71 = 4,133.75 : x
  2. Step 2: Convert to fraction form
    13,367.75/20,052.71 = 4,133.75/x
  3. Step 3: Cross multiply
    13,367.75x = 20,052.71 × 4,133.75
  4. Step 4: Simplify right side
    13,367.75x = 82,892,869.29
  5. Step 5: Solve for x
    x = 82,892,869.29/13,367.75
  6. Step 6: Final answer
    x = 6,200.96

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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.