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Finding the Fourth Proportional to 17,786.84, 24,544.16 and 11,402.16

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Solution

The fourth proportional to 17,786.84, 24,544.16 and 11,402.16 is: 15,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.84 : 24,544.16 = 11,402.16 : x
  2. Step 2: Convert to fraction form
    17,786.84/24,544.16 = 11,402.16/x
  3. Step 3: Cross multiply
    17,786.84x = 24,544.16 × 11,402.16
  4. Step 4: Simplify right side
    17,786.84x = 279,856,439.39
  5. Step 5: Solve for x
    x = 279,856,439.39/17,786.84
  6. Step 6: Final answer
    x = 15,733.90

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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.