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Finding the Fourth Proportional to 23,441.38, 32,349.02 and 12,830.92

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Solution

The fourth proportional to 23,441.38, 32,349.02 and 12,830.92 is: 17,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.38 : 32,349.02 = 12,830.92 : x
  2. Step 2: Convert to fraction form
    23,441.38/32,349.02 = 12,830.92/x
  3. Step 3: Cross multiply
    23,441.38x = 32,349.02 × 12,830.92
  4. Step 4: Simplify right side
    23,441.38x = 415,067,687.70
  5. Step 5: Solve for x
    x = 415,067,687.70/23,441.38
  6. Step 6: Final answer
    x = 17,706.62

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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.