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Finding the Fourth Proportional to 23,989.75, 35,983.60 and 8,196.20

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Solution

The fourth proportional to 23,989.75, 35,983.60 and 8,196.20 is: 12,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,989.75 : 35,983.60 = 8,196.20 : x
  2. Step 2: Convert to fraction form
    23,989.75/35,983.60 = 8,196.20/x
  3. Step 3: Cross multiply
    23,989.75x = 35,983.60 × 8,196.20
  4. Step 4: Simplify right side
    23,989.75x = 294,928,581.91
  5. Step 5: Solve for x
    x = 294,928,581.91/23,989.75
  6. Step 6: Final answer
    x = 12,293.94

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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.