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Finding the Fourth Proportional to 23,924.50, 35,894.31 and 10,778.02

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Solution

The fourth proportional to 23,924.50, 35,894.31 and 10,778.02 is: 16,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.50 : 35,894.31 = 10,778.02 : x
  2. Step 2: Convert to fraction form
    23,924.50/35,894.31 = 10,778.02/x
  3. Step 3: Cross multiply
    23,924.50x = 35,894.31 × 10,778.02
  4. Step 4: Simplify right side
    23,924.50x = 386,869,591.07
  5. Step 5: Solve for x
    x = 386,869,591.07/23,924.50
  6. Step 6: Final answer
    x = 16,170.44

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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.