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Finding the Fourth Proportional to 17,659.86, 24,369.49 and 16,249.24

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Solution

The fourth proportional to 17,659.86, 24,369.49 and 16,249.24 is: 22,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.86 : 24,369.49 = 16,249.24 : x
  2. Step 2: Convert to fraction form
    17,659.86/24,369.49 = 16,249.24/x
  3. Step 3: Cross multiply
    17,659.86x = 24,369.49 × 16,249.24
  4. Step 4: Simplify right side
    17,659.86x = 395,985,742.46
  5. Step 5: Solve for x
    x = 395,985,742.46/17,659.86
  6. Step 6: Final answer
    x = 22,422.93

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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.