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Finding the Fourth Proportional to 17,227.48, 23,762.80 and 11,847.48

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Solution

The fourth proportional to 17,227.48, 23,762.80 and 11,847.48 is: 16,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.48 : 23,762.80 = 11,847.48 : x
  2. Step 2: Convert to fraction form
    17,227.48/23,762.80 = 11,847.48/x
  3. Step 3: Cross multiply
    17,227.48x = 23,762.80 × 11,847.48
  4. Step 4: Simplify right side
    17,227.48x = 281,529,297.74
  5. Step 5: Solve for x
    x = 281,529,297.74/17,227.48
  6. Step 6: Final answer
    x = 16,341.87

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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.