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Finding the Fourth Proportional to 14,850.50, 20,493.69 and 8,227.78

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Solution

The fourth proportional to 14,850.50, 20,493.69 and 8,227.78 is: 11,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850.50 : 20,493.69 = 8,227.78 : x
  2. Step 2: Convert to fraction form
    14,850.50/20,493.69 = 8,227.78/x
  3. Step 3: Cross multiply
    14,850.50x = 20,493.69 × 8,227.78
  4. Step 4: Simplify right side
    14,850.50x = 168,617,572.71
  5. Step 5: Solve for x
    x = 168,617,572.71/14,850.50
  6. Step 6: Final answer
    x = 11,354.34

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