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Finding the Fourth Proportional to 16,013.46, 24,013.44 and 5,622.78

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Solution

The fourth proportional to 16,013.46, 24,013.44 and 5,622.78 is: 8,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.46 : 24,013.44 = 5,622.78 : x
  2. Step 2: Convert to fraction form
    16,013.46/24,013.44 = 5,622.78/x
  3. Step 3: Cross multiply
    16,013.46x = 24,013.44 × 5,622.78
  4. Step 4: Simplify right side
    16,013.46x = 135,022,290.16
  5. Step 5: Solve for x
    x = 135,022,290.16/16,013.46
  6. Step 6: Final answer
    x = 8,431.80

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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.