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Finding the Fourth Proportional to 23,249.70, 32,084.24 and 12,639.24

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Solution

The fourth proportional to 23,249.70, 32,084.24 and 12,639.24 is: 17,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.70 : 32,084.24 = 12,639.24 : x
  2. Step 2: Convert to fraction form
    23,249.70/32,084.24 = 12,639.24/x
  3. Step 3: Cross multiply
    23,249.70x = 32,084.24 × 12,639.24
  4. Step 4: Simplify right side
    23,249.70x = 405,520,346.38
  5. Step 5: Solve for x
    x = 405,520,346.38/23,249.70
  6. Step 6: Final answer
    x = 17,441.96

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Why These Related Problems?

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