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Finding the Fourth Proportional to 13,467, 20,151.10 and 11,240.32

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Solution

The fourth proportional to 13,467, 20,151.10 and 11,240.32 is: 16,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467 : 20,151.10 = 11,240.32 : x
  2. Step 2: Convert to fraction form
    13,467/20,151.10 = 11,240.32/x
  3. Step 3: Cross multiply
    13,467x = 20,151.10 × 11,240.32
  4. Step 4: Simplify right side
    13,467x = 226,504,812.35
  5. Step 5: Solve for x
    x = 226,504,812.35/13,467
  6. Step 6: Final answer
    x = 16,819.25

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1.5x scale

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.