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Finding the Fourth Proportional to 20,232.64, 30,348.60 and 7,749.28

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Solution

The fourth proportional to 20,232.64, 30,348.60 and 7,749.28 is: 11,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.64 : 30,348.60 = 7,749.28 : x
  2. Step 2: Convert to fraction form
    20,232.64/30,348.60 = 7,749.28/x
  3. Step 3: Cross multiply
    20,232.64x = 30,348.60 × 7,749.28
  4. Step 4: Simplify right side
    20,232.64x = 235,179,799.01
  5. Step 5: Solve for x
    x = 235,179,799.01/20,232.64
  6. Step 6: Final answer
    x = 11,623.78

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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.