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Finding the Fourth Proportional to 16,684.82, 25,027.53 and 7,797.71

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Solution

The fourth proportional to 16,684.82, 25,027.53 and 7,797.71 is: 11,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.82 : 25,027.53 = 7,797.71 : x
  2. Step 2: Convert to fraction form
    16,684.82/25,027.53 = 7,797.71/x
  3. Step 3: Cross multiply
    16,684.82x = 25,027.53 × 7,797.71
  4. Step 4: Simplify right side
    16,684.82x = 195,157,295.82
  5. Step 5: Solve for x
    x = 195,157,295.82/16,684.82
  6. Step 6: Final answer
    x = 11,696.70

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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.