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Finding the Fourth Proportional to 16,479, 24,717.74 and 5,384.30

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Solution

The fourth proportional to 16,479, 24,717.74 and 5,384.30 is: 8,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479 : 24,717.74 = 5,384.30 : x
  2. Step 2: Convert to fraction form
    16,479/24,717.74 = 5,384.30/x
  3. Step 3: Cross multiply
    16,479x = 24,717.74 × 5,384.30
  4. Step 4: Simplify right side
    16,479x = 133,087,576.97
  5. Step 5: Solve for x
    x = 133,087,576.97/16,479
  6. Step 6: Final answer
    x = 8,076.19

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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.