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Finding the Fourth Proportional to 18,684.92, 25,784.24 and 11,611.20

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Solution

The fourth proportional to 18,684.92, 25,784.24 and 11,611.20 is: 16,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.92 : 25,784.24 = 11,611.20 : x
  2. Step 2: Convert to fraction form
    18,684.92/25,784.24 = 11,611.20/x
  3. Step 3: Cross multiply
    18,684.92x = 25,784.24 × 11,611.20
  4. Step 4: Simplify right side
    18,684.92x = 299,385,967.49
  5. Step 5: Solve for x
    x = 299,385,967.49/18,684.92
  6. Step 6: Final answer
    x = 16,022.87

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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.