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Finding the Fourth Proportional to 16,586.25, 24,890.31 and 6,198

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Solution

The fourth proportional to 16,586.25, 24,890.31 and 6,198 is: 9,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.25 : 24,890.31 = 6,198 : x
  2. Step 2: Convert to fraction form
    16,586.25/24,890.31 = 6,198/x
  3. Step 3: Cross multiply
    16,586.25x = 24,890.31 × 6,198
  4. Step 4: Simplify right side
    16,586.25x = 154,270,141.38
  5. Step 5: Solve for x
    x = 154,270,141.38/16,586.25
  6. Step 6: Final answer
    x = 9,301.09

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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.