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Finding the Fourth Proportional to 20,178.80, 30,256.46 and 6,847.28

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Solution

The fourth proportional to 20,178.80, 30,256.46 and 6,847.28 is: 10,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.80 : 30,256.46 = 6,847.28 : x
  2. Step 2: Convert to fraction form
    20,178.80/30,256.46 = 6,847.28/x
  3. Step 3: Cross multiply
    20,178.80x = 30,256.46 × 6,847.28
  4. Step 4: Simplify right side
    20,178.80x = 207,174,596.50
  5. Step 5: Solve for x
    x = 207,174,596.50/20,178.80
  6. Step 6: Final answer
    x = 10,266.95

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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.