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Finding the Fourth Proportional to 16,401.20, 22,633.32 and 8,949.20

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Solution

The fourth proportional to 16,401.20, 22,633.32 and 8,949.20 is: 12,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.20 : 22,633.32 = 8,949.20 : x
  2. Step 2: Convert to fraction form
    16,401.20/22,633.32 = 8,949.20/x
  3. Step 3: Cross multiply
    16,401.20x = 22,633.32 × 8,949.20
  4. Step 4: Simplify right side
    16,401.20x = 202,550,107.34
  5. Step 5: Solve for x
    x = 202,550,107.34/16,401.20
  6. Step 6: Final answer
    x = 12,349.71

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1.5x scale

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.