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Finding the Fourth Proportional to 17,633.52, 24,327 and 11,671.92

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Solution

The fourth proportional to 17,633.52, 24,327 and 11,671.92 is: 16,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.52 : 24,327 = 11,671.92 : x
  2. Step 2: Convert to fraction form
    17,633.52/24,327 = 11,671.92/x
  3. Step 3: Cross multiply
    17,633.52x = 24,327 × 11,671.92
  4. Step 4: Simplify right side
    17,633.52x = 283,942,797.84
  5. Step 5: Solve for x
    x = 283,942,797.84/17,633.52
  6. Step 6: Final answer
    x = 16,102.45

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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.