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Finding the Fourth Proportional to 14,851, 20,494.42 and 8,227

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Solution

The fourth proportional to 14,851, 20,494.42 and 8,227 is: 11,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851 : 20,494.42 = 8,227 : x
  2. Step 2: Convert to fraction form
    14,851/20,494.42 = 8,227/x
  3. Step 3: Cross multiply
    14,851x = 20,494.42 × 8,227
  4. Step 4: Simplify right side
    14,851x = 168,607,593.34
  5. Step 5: Solve for x
    x = 168,607,593.34/14,851
  6. Step 6: Final answer
    x = 11,353.28

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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.