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Finding the Fourth Proportional to 20,502.20, 30,680.40 and 14,232.80

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Solution

The fourth proportional to 20,502.20, 30,680.40 and 14,232.80 is: 21,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.20 : 30,680.40 = 14,232.80 : x
  2. Step 2: Convert to fraction form
    20,502.20/30,680.40 = 14,232.80/x
  3. Step 3: Cross multiply
    20,502.20x = 30,680.40 × 14,232.80
  4. Step 4: Simplify right side
    20,502.20x = 436,667,997.12
  5. Step 5: Solve for x
    x = 436,667,997.12/20,502.20
  6. Step 6: Final answer
    x = 21,298.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.