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Finding the Fourth Proportional to 16,883.86, 25,287.72 and 8,125.33

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Solution

The fourth proportional to 16,883.86, 25,287.72 and 8,125.33 is: 12,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883.86 : 25,287.72 = 8,125.33 : x
  2. Step 2: Convert to fraction form
    16,883.86/25,287.72 = 8,125.33/x
  3. Step 3: Cross multiply
    16,883.86x = 25,287.72 × 8,125.33
  4. Step 4: Simplify right side
    16,883.86x = 205,471,069.95
  5. Step 5: Solve for x
    x = 205,471,069.95/16,883.86
  6. Step 6: Final answer
    x = 12,169.67

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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.