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Finding the Fourth Proportional to 11,491.68, 17,244 and 11,403.84

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Solution

The fourth proportional to 11,491.68, 17,244 and 11,403.84 is: 17,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.68 : 17,244 = 11,403.84 : x
  2. Step 2: Convert to fraction form
    11,491.68/17,244 = 11,403.84/x
  3. Step 3: Cross multiply
    11,491.68x = 17,244 × 11,403.84
  4. Step 4: Simplify right side
    11,491.68x = 196,647,816.96
  5. Step 5: Solve for x
    x = 196,647,816.96/11,491.68
  6. Step 6: Final answer
    x = 17,112.19

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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.