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Finding the Fourth Proportional to 16,900.38, 25,339.77 and 8,117.82

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Solution

The fourth proportional to 16,900.38, 25,339.77 and 8,117.82 is: 12,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.38 : 25,339.77 = 8,117.82 : x
  2. Step 2: Convert to fraction form
    16,900.38/25,339.77 = 8,117.82/x
  3. Step 3: Cross multiply
    16,900.38x = 25,339.77 × 8,117.82
  4. Step 4: Simplify right side
    16,900.38x = 205,703,691.70
  5. Step 5: Solve for x
    x = 205,703,691.70/16,900.38
  6. Step 6: Final answer
    x = 12,171.54

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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.