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Finding the Fourth Proportional to 16,477, 22,738.34 and 9,025

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Solution

The fourth proportional to 16,477, 22,738.34 and 9,025 is: 12,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477 : 22,738.34 = 9,025 : x
  2. Step 2: Convert to fraction form
    16,477/22,738.34 = 9,025/x
  3. Step 3: Cross multiply
    16,477x = 22,738.34 × 9,025
  4. Step 4: Simplify right side
    16,477x = 205,213,518.50
  5. Step 5: Solve for x
    x = 205,213,518.50/16,477
  6. Step 6: Final answer
    x = 12,454.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.