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Finding the Fourth Proportional to 23,793.46, 32,834.10 and 13,722.32

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Solution

The fourth proportional to 23,793.46, 32,834.10 and 13,722.32 is: 18,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.46 : 32,834.10 = 13,722.32 : x
  2. Step 2: Convert to fraction form
    23,793.46/32,834.10 = 13,722.32/x
  3. Step 3: Cross multiply
    23,793.46x = 32,834.10 × 13,722.32
  4. Step 4: Simplify right side
    23,793.46x = 450,560,027.11
  5. Step 5: Solve for x
    x = 450,560,027.11/23,793.46
  6. Step 6: Final answer
    x = 18,936.30

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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.