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Finding the Fourth Proportional to 17,638.78, 24,342.61 and 11,660.08

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Solution

The fourth proportional to 17,638.78, 24,342.61 and 11,660.08 is: 16,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.78 : 24,342.61 = 11,660.08 : x
  2. Step 2: Convert to fraction form
    17,638.78/24,342.61 = 11,660.08/x
  3. Step 3: Cross multiply
    17,638.78x = 24,342.61 × 11,660.08
  4. Step 4: Simplify right side
    17,638.78x = 283,836,780.01
  5. Step 5: Solve for x
    x = 283,836,780.01/17,638.78
  6. Step 6: Final answer
    x = 16,091.63

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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.