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Finding the Fourth Proportional to 17,197.38, 23,723.65 and 11,232.54

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Solution

The fourth proportional to 17,197.38, 23,723.65 and 11,232.54 is: 15,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.38 : 23,723.65 = 11,232.54 : x
  2. Step 2: Convert to fraction form
    17,197.38/23,723.65 = 11,232.54/x
  3. Step 3: Cross multiply
    17,197.38x = 23,723.65 × 11,232.54
  4. Step 4: Simplify right side
    17,197.38x = 266,476,847.57
  5. Step 5: Solve for x
    x = 266,476,847.57/17,197.38
  6. Step 6: Final answer
    x = 15,495.20

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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.