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Finding the Fourth Proportional to 17,446.86, 24,076.56 and 9,489.09

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Solution

The fourth proportional to 17,446.86, 24,076.56 and 9,489.09 is: 13,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.86 : 24,076.56 = 9,489.09 : x
  2. Step 2: Convert to fraction form
    17,446.86/24,076.56 = 9,489.09/x
  3. Step 3: Cross multiply
    17,446.86x = 24,076.56 × 9,489.09
  4. Step 4: Simplify right side
    17,446.86x = 228,464,644.73
  5. Step 5: Solve for x
    x = 228,464,644.73/17,446.86
  6. Step 6: Final answer
    x = 13,094.89

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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.