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Finding the Fourth Proportional to 20,380.80, 30,502.08 and 12,178.56

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Solution

The fourth proportional to 20,380.80, 30,502.08 and 12,178.56 is: 18,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.80 : 30,502.08 = 12,178.56 : x
  2. Step 2: Convert to fraction form
    20,380.80/30,502.08 = 12,178.56/x
  3. Step 3: Cross multiply
    20,380.80x = 30,502.08 × 12,178.56
  4. Step 4: Simplify right side
    20,380.80x = 371,471,411.40
  5. Step 5: Solve for x
    x = 371,471,411.40/20,380.80
  6. Step 6: Final answer
    x = 18,226.54

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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.