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Finding the Fourth Proportional to 12,388.28, 17,102.46 and 9,549.44

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Solution

The fourth proportional to 12,388.28, 17,102.46 and 9,549.44 is: 13,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.28 : 17,102.46 = 9,549.44 : x
  2. Step 2: Convert to fraction form
    12,388.28/17,102.46 = 9,549.44/x
  3. Step 3: Cross multiply
    12,388.28x = 17,102.46 × 9,549.44
  4. Step 4: Simplify right side
    12,388.28x = 163,318,915.62
  5. Step 5: Solve for x
    x = 163,318,915.62/12,388.28
  6. Step 6: Final answer
    x = 13,183.34

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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.