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Finding the Fourth Proportional to 16,006.86, 24,013.11 and 5,474.41

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Solution

The fourth proportional to 16,006.86, 24,013.11 and 5,474.41 is: 8,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.86 : 24,013.11 = 5,474.41 : x
  2. Step 2: Convert to fraction form
    16,006.86/24,013.11 = 5,474.41/x
  3. Step 3: Cross multiply
    16,006.86x = 24,013.11 × 5,474.41
  4. Step 4: Simplify right side
    16,006.86x = 131,457,570.01
  5. Step 5: Solve for x
    x = 131,457,570.01/16,006.86
  6. Step 6: Final answer
    x = 8,212.58

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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.