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Finding the Fourth Proportional to 17,444, 24,072.72 and 9,992.48

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Solution

The fourth proportional to 17,444, 24,072.72 and 9,992.48 is: 13,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,444 : 24,072.72 = 9,992.48 : x
  2. Step 2: Convert to fraction form
    17,444/24,072.72 = 9,992.48/x
  3. Step 3: Cross multiply
    17,444x = 24,072.72 × 9,992.48
  4. Step 4: Simplify right side
    17,444x = 240,546,173.15
  5. Step 5: Solve for x
    x = 240,546,173.15/17,444
  6. Step 6: Final answer
    x = 13,789.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.