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Finding the Fourth Proportional to 17,996.70, 27,007.20 and 10,099.20

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Solution

The fourth proportional to 17,996.70, 27,007.20 and 10,099.20 is: 15,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996.70 : 27,007.20 = 10,099.20 : x
  2. Step 2: Convert to fraction form
    17,996.70/27,007.20 = 10,099.20/x
  3. Step 3: Cross multiply
    17,996.70x = 27,007.20 × 10,099.20
  4. Step 4: Simplify right side
    17,996.70x = 272,751,114.24
  5. Step 5: Solve for x
    x = 272,751,114.24/17,996.70
  6. Step 6: Final answer
    x = 15,155.62

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1.5x scale

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.