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Finding the Fourth Proportional to 19,997, 27,595.86 and 11,614.04

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Solution

The fourth proportional to 19,997, 27,595.86 and 11,614.04 is: 16,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997 : 27,595.86 = 11,614.04 : x
  2. Step 2: Convert to fraction form
    19,997/27,595.86 = 11,614.04/x
  3. Step 3: Cross multiply
    19,997x = 27,595.86 × 11,614.04
  4. Step 4: Simplify right side
    19,997x = 320,499,421.87
  5. Step 5: Solve for x
    x = 320,499,421.87/19,997
  6. Step 6: Final answer
    x = 16,027.38

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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.