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Finding the Fourth Proportional to 16,005.26, 24,007.62 and 7,234.04

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Solution

The fourth proportional to 16,005.26, 24,007.62 and 7,234.04 is: 10,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.26 : 24,007.62 = 7,234.04 : x
  2. Step 2: Convert to fraction form
    16,005.26/24,007.62 = 7,234.04/x
  3. Step 3: Cross multiply
    16,005.26x = 24,007.62 × 7,234.04
  4. Step 4: Simplify right side
    16,005.26x = 173,672,083.38
  5. Step 5: Solve for x
    x = 173,672,083.38/16,005.26
  6. Step 6: Final answer
    x = 10,850.94

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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.