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Finding the Fourth Proportional to 23,238.52, 34,865.10 and 8,443.50

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Solution

The fourth proportional to 23,238.52, 34,865.10 and 8,443.50 is: 12,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.52 : 34,865.10 = 8,443.50 : x
  2. Step 2: Convert to fraction form
    23,238.52/34,865.10 = 8,443.50/x
  3. Step 3: Cross multiply
    23,238.52x = 34,865.10 × 8,443.50
  4. Step 4: Simplify right side
    23,238.52x = 294,383,471.85
  5. Step 5: Solve for x
    x = 294,383,471.85/23,238.52
  6. Step 6: Final answer
    x = 12,667.91

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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.