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Finding the Fourth Proportional to 16,896.67, 25,345.35 and 5,209.88

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Solution

The fourth proportional to 16,896.67, 25,345.35 and 5,209.88 is: 7,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896.67 : 25,345.35 = 5,209.88 : x
  2. Step 2: Convert to fraction form
    16,896.67/25,345.35 = 5,209.88/x
  3. Step 3: Cross multiply
    16,896.67x = 25,345.35 × 5,209.88
  4. Step 4: Simplify right side
    16,896.67x = 132,046,105.33
  5. Step 5: Solve for x
    x = 132,046,105.33/16,896.67
  6. Step 6: Final answer
    x = 7,814.92

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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.