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Finding the Fourth Proportional to 11,967.72, 17,992.13 and 9,644.04

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Solution

The fourth proportional to 11,967.72, 17,992.13 and 9,644.04 is: 14,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.72 : 17,992.13 = 9,644.04 : x
  2. Step 2: Convert to fraction form
    11,967.72/17,992.13 = 9,644.04/x
  3. Step 3: Cross multiply
    11,967.72x = 17,992.13 × 9,644.04
  4. Step 4: Simplify right side
    11,967.72x = 173,516,773.19
  5. Step 5: Solve for x
    x = 173,516,773.19/11,967.72
  6. Step 6: Final answer
    x = 14,498.73

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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.