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Finding the Fourth Proportional to 17,911.30, 24,701.07 and 11,194.78

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Solution

The fourth proportional to 17,911.30, 24,701.07 and 11,194.78 is: 15,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.30 : 24,701.07 = 11,194.78 : x
  2. Step 2: Convert to fraction form
    17,911.30/24,701.07 = 11,194.78/x
  3. Step 3: Cross multiply
    17,911.30x = 24,701.07 × 11,194.78
  4. Step 4: Simplify right side
    17,911.30x = 276,523,044.41
  5. Step 5: Solve for x
    x = 276,523,044.41/17,911.30
  6. Step 6: Final answer
    x = 15,438.47

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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.