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Finding the Fourth Proportional to 22,662.58, 33,982.20 and 10,171.90

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Solution

The fourth proportional to 22,662.58, 33,982.20 and 10,171.90 is: 15,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.58 : 33,982.20 = 10,171.90 : x
  2. Step 2: Convert to fraction form
    22,662.58/33,982.20 = 10,171.90/x
  3. Step 3: Cross multiply
    22,662.58x = 33,982.20 × 10,171.90
  4. Step 4: Simplify right side
    22,662.58x = 345,663,319.41
  5. Step 5: Solve for x
    x = 345,663,319.41/22,662.58
  6. Step 6: Final answer
    x = 15,252.60

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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.