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Finding the Fourth Proportional to 23,380.10, 35,074.82 and 8,383.21

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Solution

The fourth proportional to 23,380.10, 35,074.82 and 8,383.21 is: 12,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.10 : 35,074.82 = 8,383.21 : x
  2. Step 2: Convert to fraction form
    23,380.10/35,074.82 = 8,383.21/x
  3. Step 3: Cross multiply
    23,380.10x = 35,074.82 × 8,383.21
  4. Step 4: Simplify right side
    23,380.10x = 294,039,581.77
  5. Step 5: Solve for x
    x = 294,039,581.77/23,380.10
  6. Step 6: Final answer
    x = 12,576.49

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Why These Related Problems?

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