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Finding the Fourth Proportional to 22,086.96, 30,481.20 and 12,655.20

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Solution

The fourth proportional to 22,086.96, 30,481.20 and 12,655.20 is: 17,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086.96 : 30,481.20 = 12,655.20 : x
  2. Step 2: Convert to fraction form
    22,086.96/30,481.20 = 12,655.20/x
  3. Step 3: Cross multiply
    22,086.96x = 30,481.20 × 12,655.20
  4. Step 4: Simplify right side
    22,086.96x = 385,745,682.24
  5. Step 5: Solve for x
    x = 385,745,682.24/22,086.96
  6. Step 6: Final answer
    x = 17,464.86

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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.