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Finding the Fourth Proportional to 16,175.27, 24,243.06 and 7,732.10

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Solution

The fourth proportional to 16,175.27, 24,243.06 and 7,732.10 is: 11,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.27 : 24,243.06 = 7,732.10 : x
  2. Step 2: Convert to fraction form
    16,175.27/24,243.06 = 7,732.10/x
  3. Step 3: Cross multiply
    16,175.27x = 24,243.06 × 7,732.10
  4. Step 4: Simplify right side
    16,175.27x = 187,449,764.23
  5. Step 5: Solve for x
    x = 187,449,764.23/16,175.27
  6. Step 6: Final answer
    x = 11,588.66

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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.