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Finding the Fourth Proportional to 19,997.84, 27,588.12 and 11,609.84

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Solution

The fourth proportional to 19,997.84, 27,588.12 and 11,609.84 is: 16,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.84 : 27,588.12 = 11,609.84 : x
  2. Step 2: Convert to fraction form
    19,997.84/27,588.12 = 11,609.84/x
  3. Step 3: Cross multiply
    19,997.84x = 27,588.12 × 11,609.84
  4. Step 4: Simplify right side
    19,997.84x = 320,293,659.10
  5. Step 5: Solve for x
    x = 320,293,659.10/19,997.84
  6. Step 6: Final answer
    x = 16,016.41

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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.