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Finding the Fourth Proportional to 11,963.12, 17,911.68 and 9,032.48

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Solution

The fourth proportional to 11,963.12, 17,911.68 and 9,032.48 is: 13,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.12 : 17,911.68 = 9,032.48 : x
  2. Step 2: Convert to fraction form
    11,963.12/17,911.68 = 9,032.48/x
  3. Step 3: Cross multiply
    11,963.12x = 17,911.68 × 9,032.48
  4. Step 4: Simplify right side
    11,963.12x = 161,786,891.37
  5. Step 5: Solve for x
    x = 161,786,891.37/11,963.12
  6. Step 6: Final answer
    x = 13,523.80

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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.