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Finding the Fourth Proportional to 11,898.34, 17,850.54 and 9,793.28

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Solution

The fourth proportional to 11,898.34, 17,850.54 and 9,793.28 is: 14,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.34 : 17,850.54 = 9,793.28 : x
  2. Step 2: Convert to fraction form
    11,898.34/17,850.54 = 9,793.28/x
  3. Step 3: Cross multiply
    11,898.34x = 17,850.54 × 9,793.28
  4. Step 4: Simplify right side
    11,898.34x = 174,815,336.37
  5. Step 5: Solve for x
    x = 174,815,336.37/11,898.34
  6. Step 6: Final answer
    x = 14,692.41

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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.