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Finding the Fourth Proportional to 23,911.98, 35,867.97 and 6,381.87

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Solution

The fourth proportional to 23,911.98, 35,867.97 and 6,381.87 is: 9,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911.98 : 35,867.97 = 6,381.87 : x
  2. Step 2: Convert to fraction form
    23,911.98/35,867.97 = 6,381.87/x
  3. Step 3: Cross multiply
    23,911.98x = 35,867.97 × 6,381.87
  4. Step 4: Simplify right side
    23,911.98x = 228,904,721.70
  5. Step 5: Solve for x
    x = 228,904,721.70/23,911.98
  6. Step 6: Final answer
    x = 9,572.81

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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.