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Finding the Fourth Proportional to 23,723.20, 35,546.40 and 14,942.40

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Solution

The fourth proportional to 23,723.20, 35,546.40 and 14,942.40 is: 22,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.20 : 35,546.40 = 14,942.40 : x
  2. Step 2: Convert to fraction form
    23,723.20/35,546.40 = 14,942.40/x
  3. Step 3: Cross multiply
    23,723.20x = 35,546.40 × 14,942.40
  4. Step 4: Simplify right side
    23,723.20x = 531,148,527.36
  5. Step 5: Solve for x
    x = 531,148,527.36/23,723.20
  6. Step 6: Final answer
    x = 22,389.41

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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.