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Finding the Fourth Proportional to 16,168.88, 22,313.54 and 9,794.12

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Solution

The fourth proportional to 16,168.88, 22,313.54 and 9,794.12 is: 13,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,168.88 : 22,313.54 = 9,794.12 : x
  2. Step 2: Convert to fraction form
    16,168.88/22,313.54 = 9,794.12/x
  3. Step 3: Cross multiply
    16,168.88x = 22,313.54 × 9,794.12
  4. Step 4: Simplify right side
    16,168.88x = 218,541,401.30
  5. Step 5: Solve for x
    x = 218,541,401.30/16,168.88
  6. Step 6: Final answer
    x = 13,516.17

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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.