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Finding the Fourth Proportional to 16,384.50, 24,576.84 and 4,072.50

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Solution

The fourth proportional to 16,384.50, 24,576.84 and 4,072.50 is: 6,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.50 : 24,576.84 = 4,072.50 : x
  2. Step 2: Convert to fraction form
    16,384.50/24,576.84 = 4,072.50/x
  3. Step 3: Cross multiply
    16,384.50x = 24,576.84 × 4,072.50
  4. Step 4: Simplify right side
    16,384.50x = 100,089,180.90
  5. Step 5: Solve for x
    x = 100,089,180.90/16,384.50
  6. Step 6: Final answer
    x = 6,108.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.