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Finding the Fourth Proportional to 16,823.66, 25,229.57 and 4,974.26

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Solution

The fourth proportional to 16,823.66, 25,229.57 and 4,974.26 is: 7,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.66 : 25,229.57 = 4,974.26 : x
  2. Step 2: Convert to fraction form
    16,823.66/25,229.57 = 4,974.26/x
  3. Step 3: Cross multiply
    16,823.66x = 25,229.57 × 4,974.26
  4. Step 4: Simplify right side
    16,823.66x = 125,498,289.85
  5. Step 5: Solve for x
    x = 125,498,289.85/16,823.66
  6. Step 6: Final answer
    x = 7,459.63

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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.