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Finding the Fourth Proportional to 23,471.89, 32,380.34 and 20,785.84

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Solution

The fourth proportional to 23,471.89, 32,380.34 and 20,785.84 is: 28,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.89 : 32,380.34 = 20,785.84 : x
  2. Step 2: Convert to fraction form
    23,471.89/32,380.34 = 20,785.84/x
  3. Step 3: Cross multiply
    23,471.89x = 32,380.34 × 20,785.84
  4. Step 4: Simplify right side
    23,471.89x = 673,052,381.51
  5. Step 5: Solve for x
    x = 673,052,381.51/23,471.89
  6. Step 6: Final answer
    x = 28,674.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.