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Finding the Fourth Proportional to 17,446.91, 24,076.85 and 9,489.20

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Solution

The fourth proportional to 17,446.91, 24,076.85 and 9,489.20 is: 13,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.91 : 24,076.85 = 9,489.20 : x
  2. Step 2: Convert to fraction form
    17,446.91/24,076.85 = 9,489.20/x
  3. Step 3: Cross multiply
    17,446.91x = 24,076.85 × 9,489.20
  4. Step 4: Simplify right side
    17,446.91x = 228,469,948.36
  5. Step 5: Solve for x
    x = 228,469,948.36/17,446.91
  6. Step 6: Final answer
    x = 13,095.15

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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.