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Finding the Fourth Proportional to 16,384.03, 24,576.07 and 4,072.03

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Solution

The fourth proportional to 16,384.03, 24,576.07 and 4,072.03 is: 6,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.03 : 24,576.07 = 4,072.03 : x
  2. Step 2: Convert to fraction form
    16,384.03/24,576.07 = 4,072.03/x
  3. Step 3: Cross multiply
    16,384.03x = 24,576.07 × 4,072.03
  4. Step 4: Simplify right side
    16,384.03x = 100,074,494.32
  5. Step 5: Solve for x
    x = 100,074,494.32/16,384.03
  6. Step 6: Final answer
    x = 6,108.05

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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.