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Finding the Fourth Proportional to 16,477, 24,715.50 and 4,165

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Solution

The fourth proportional to 16,477, 24,715.50 and 4,165 is: 6,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477 : 24,715.50 = 4,165 : x
  2. Step 2: Convert to fraction form
    16,477/24,715.50 = 4,165/x
  3. Step 3: Cross multiply
    16,477x = 24,715.50 × 4,165
  4. Step 4: Simplify right side
    16,477x = 102,940,057.50
  5. Step 5: Solve for x
    x = 102,940,057.50/16,477
  6. Step 6: Final answer
    x = 6,247.50

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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.