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Finding the Fourth Proportional to 16,385.12, 22,611.60 and 8,933.12

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Solution

The fourth proportional to 16,385.12, 22,611.60 and 8,933.12 is: 12,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.12 : 22,611.60 = 8,933.12 : x
  2. Step 2: Convert to fraction form
    16,385.12/22,611.60 = 8,933.12/x
  3. Step 3: Cross multiply
    16,385.12x = 22,611.60 × 8,933.12
  4. Step 4: Simplify right side
    16,385.12x = 201,992,136.19
  5. Step 5: Solve for x
    x = 201,992,136.19/16,385.12
  6. Step 6: Final answer
    x = 12,327.78

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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.