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Finding the Fourth Proportional to 17,493.76, 24,141.44 and 11,212.80

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Solution

The fourth proportional to 17,493.76, 24,141.44 and 11,212.80 is: 15,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.76 : 24,141.44 = 11,212.80 : x
  2. Step 2: Convert to fraction form
    17,493.76/24,141.44 = 11,212.80/x
  3. Step 3: Cross multiply
    17,493.76x = 24,141.44 × 11,212.80
  4. Step 4: Simplify right side
    17,493.76x = 270,693,138.43
  5. Step 5: Solve for x
    x = 270,693,138.43/17,493.76
  6. Step 6: Final answer
    x = 15,473.70

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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.