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Finding the Fourth Proportional to 12,463.83, 17,198.73 and 7,682.94

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Solution

The fourth proportional to 12,463.83, 17,198.73 and 7,682.94 is: 10,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.83 : 17,198.73 = 7,682.94 : x
  2. Step 2: Convert to fraction form
    12,463.83/17,198.73 = 7,682.94/x
  3. Step 3: Cross multiply
    12,463.83x = 17,198.73 × 7,682.94
  4. Step 4: Simplify right side
    12,463.83x = 132,136,810.67
  5. Step 5: Solve for x
    x = 132,136,810.67/12,463.83
  6. Step 6: Final answer
    x = 10,601.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.