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Finding the Fourth Proportional to 17,537.96, 24,198.40 and 10,463

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Solution

The fourth proportional to 17,537.96, 24,198.40 and 10,463 is: 14,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.96 : 24,198.40 = 10,463 : x
  2. Step 2: Convert to fraction form
    17,537.96/24,198.40 = 10,463/x
  3. Step 3: Cross multiply
    17,537.96x = 24,198.40 × 10,463
  4. Step 4: Simplify right side
    17,537.96x = 253,187,859.20
  5. Step 5: Solve for x
    x = 253,187,859.20/17,537.96
  6. Step 6: Final answer
    x = 14,436.56

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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.