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Finding the Fourth Proportional to 16,732.88, 25,102.56 and 8,414.72

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Solution

The fourth proportional to 16,732.88, 25,102.56 and 8,414.72 is: 12,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.88 : 25,102.56 = 8,414.72 : x
  2. Step 2: Convert to fraction form
    16,732.88/25,102.56 = 8,414.72/x
  3. Step 3: Cross multiply
    16,732.88x = 25,102.56 × 8,414.72
  4. Step 4: Simplify right side
    16,732.88x = 211,231,013.68
  5. Step 5: Solve for x
    x = 211,231,013.68/16,732.88
  6. Step 6: Final answer
    x = 12,623.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.