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Finding the Fourth Proportional to 17,732.97, 24,483.84 and 11,021.61

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Solution

The fourth proportional to 17,732.97, 24,483.84 and 11,021.61 is: 15,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.97 : 24,483.84 = 11,021.61 : x
  2. Step 2: Convert to fraction form
    17,732.97/24,483.84 = 11,021.61/x
  3. Step 3: Cross multiply
    17,732.97x = 24,483.84 × 11,021.61
  4. Step 4: Simplify right side
    17,732.97x = 269,851,335.78
  5. Step 5: Solve for x
    x = 269,851,335.78/17,732.97
  6. Step 6: Final answer
    x = 15,217.49

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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.