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Finding the Fourth Proportional to 20,914.64, 31,380.12 and 9,219.64

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Solution

The fourth proportional to 20,914.64, 31,380.12 and 9,219.64 is: 13,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.64 : 31,380.12 = 9,219.64 : x
  2. Step 2: Convert to fraction form
    20,914.64/31,380.12 = 9,219.64/x
  3. Step 3: Cross multiply
    20,914.64x = 31,380.12 × 9,219.64
  4. Step 4: Simplify right side
    20,914.64x = 289,313,409.56
  5. Step 5: Solve for x
    x = 289,313,409.56/20,914.64
  6. Step 6: Final answer
    x = 13,833.06

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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.