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Finding the Fourth Proportional to 16,217.52, 22,380.16 and 8,765.52

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Solution

The fourth proportional to 16,217.52, 22,380.16 and 8,765.52 is: 12,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.52 : 22,380.16 = 8,765.52 : x
  2. Step 2: Convert to fraction form
    16,217.52/22,380.16 = 8,765.52/x
  3. Step 3: Cross multiply
    16,217.52x = 22,380.16 × 8,765.52
  4. Step 4: Simplify right side
    16,217.52x = 196,173,740.08
  5. Step 5: Solve for x
    x = 196,173,740.08/16,217.52
  6. Step 6: Final answer
    x = 12,096.41

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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.