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Finding the Fourth Proportional to 23,786.64, 35,696.34 and 8,204.25

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Solution

The fourth proportional to 23,786.64, 35,696.34 and 8,204.25 is: 12,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.64 : 35,696.34 = 8,204.25 : x
  2. Step 2: Convert to fraction form
    23,786.64/35,696.34 = 8,204.25/x
  3. Step 3: Cross multiply
    23,786.64x = 35,696.34 × 8,204.25
  4. Step 4: Simplify right side
    23,786.64x = 292,861,697.45
  5. Step 5: Solve for x
    x = 292,861,697.45/23,786.64
  6. Step 6: Final answer
    x = 12,312.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.