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Finding the Fourth Proportional to 23,951.38, 35,943.49 and 8,369

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Solution

The fourth proportional to 23,951.38, 35,943.49 and 8,369 is: 12,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,951.38 : 35,943.49 = 8,369 : x
  2. Step 2: Convert to fraction form
    23,951.38/35,943.49 = 8,369/x
  3. Step 3: Cross multiply
    23,951.38x = 35,943.49 × 8,369
  4. Step 4: Simplify right side
    23,951.38x = 300,811,067.81
  5. Step 5: Solve for x
    x = 300,811,067.81/23,951.38
  6. Step 6: Final answer
    x = 12,559.24

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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.