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Finding the Fourth Proportional to 17,661.86, 24,372.25 and 16,251.24

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Solution

The fourth proportional to 17,661.86, 24,372.25 and 16,251.24 is: 22,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.86 : 24,372.25 = 16,251.24 : x
  2. Step 2: Convert to fraction form
    17,661.86/24,372.25 = 16,251.24/x
  3. Step 3: Cross multiply
    17,661.86x = 24,372.25 × 16,251.24
  4. Step 4: Simplify right side
    17,661.86x = 396,079,284.09
  5. Step 5: Solve for x
    x = 396,079,284.09/17,661.86
  6. Step 6: Final answer
    x = 22,425.68

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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.