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Finding the Fourth Proportional to 16,910.66, 25,371.40 and 8,146.46

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Solution

The fourth proportional to 16,910.66, 25,371.40 and 8,146.46 is: 12,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,910.66 : 25,371.40 = 8,146.46 : x
  2. Step 2: Convert to fraction form
    16,910.66/25,371.40 = 8,146.46/x
  3. Step 3: Cross multiply
    16,910.66x = 25,371.40 × 8,146.46
  4. Step 4: Simplify right side
    16,910.66x = 206,687,095.24
  5. Step 5: Solve for x
    x = 206,687,095.24/16,910.66
  6. Step 6: Final answer
    x = 12,222.30

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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.