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Finding the Fourth Proportional to 23,107.38, 31,893.12 and 14,604.09

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Solution

The fourth proportional to 23,107.38, 31,893.12 and 14,604.09 is: 20,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.38 : 31,893.12 = 14,604.09 : x
  2. Step 2: Convert to fraction form
    23,107.38/31,893.12 = 14,604.09/x
  3. Step 3: Cross multiply
    23,107.38x = 31,893.12 × 14,604.09
  4. Step 4: Simplify right side
    23,107.38x = 465,769,994.86
  5. Step 5: Solve for x
    x = 465,769,994.86/23,107.38
  6. Step 6: Final answer
    x = 20,156.76

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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.