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Finding the Fourth Proportional to 11,649.99, 17,362.58 and 11,631.47

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Solution

The fourth proportional to 11,649.99, 17,362.58 and 11,631.47 is: 17,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.99 : 17,362.58 = 11,631.47 : x
  2. Step 2: Convert to fraction form
    11,649.99/17,362.58 = 11,631.47/x
  3. Step 3: Cross multiply
    11,649.99x = 17,362.58 × 11,631.47
  4. Step 4: Simplify right side
    11,649.99x = 201,952,183.42
  5. Step 5: Solve for x
    x = 201,952,183.42/11,649.99
  6. Step 6: Final answer
    x = 17,334.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.