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Finding the Fourth Proportional to 14,850.50, 20,493.70 and 8,226.50

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Solution

The fourth proportional to 14,850.50, 20,493.70 and 8,226.50 is: 11,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850.50 : 20,493.70 = 8,226.50 : x
  2. Step 2: Convert to fraction form
    14,850.50/20,493.70 = 8,226.50/x
  3. Step 3: Cross multiply
    14,850.50x = 20,493.70 × 8,226.50
  4. Step 4: Simplify right side
    14,850.50x = 168,591,423.05
  5. Step 5: Solve for x
    x = 168,591,423.05/14,850.50
  6. Step 6: Final answer
    x = 11,352.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.